Derivative of 9^(6/tan(sin(3.1^(3.1^x))))/cos(cos(x)sin(x)^x)

Derivative of 9^(6/tan(sin(3.1^(3.1^x))))/cos(cos(x)sin(x)^x). Simple step by step solution, to learn. Simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

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Derivative of 9^(6/tan(sin(3.1^(3.1^x))))/cos(cos(x)sin(x)^x): 


((9^(6/tan(sin(3.1^(3.1^x)))))/cos(cos(x)*(sin(x))^x))'

((9^(6/tan(sin(3.1^(3.1^x)))))'*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(9^(6/tan(sin(3.1^(3.1^x))))*((6/tan(sin(3.1^(3.1^x))))'*ln(9)+((6/tan(sin(3.1^(3.1^x))))*(9)')/9)*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(9^(6/tan(sin(3.1^(3.1^x))))*((6/tan(sin(3.1^(3.1^x))))'*ln(9)+((6/tan(sin(3.1^(3.1^x))))*0)/9)*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(9^(6/tan(sin(3.1^(3.1^x))))*((((6)'*tan(sin(3.1^(3.1^x)))-(6*(tan(sin(3.1^(3.1^x))))'))/((tan(sin(3.1^(3.1^x))))^2))*ln(9)+((6/tan(sin(3.1^(3.1^x))))*0)/9)*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(9^(6/tan(sin(3.1^(3.1^x))))*(((0*tan(sin(3.1^(3.1^x)))-(6*(tan(sin(3.1^(3.1^x))))'))/((tan(sin(3.1^(3.1^x))))^2))*ln(9)+((6/tan(sin(3.1^(3.1^x))))*0)/9)*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(9^(6/tan(sin(3.1^(3.1^x))))*(((0*tan(sin(3.1^(3.1^x)))-(6*((sin(3.1^(3.1^x)))'/((cos(sin(3.1^(3.1^x))))^2))))/((tan(sin(3.1^(3.1^x))))^2))*ln(9)+((6/tan(sin(3.1^(3.1^x))))*0)/9)*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(9^(6/tan(sin(3.1^(3.1^x))))*(((0*tan(sin(3.1^(3.1^x)))-(6*((cos(3.1^(3.1^x))*(3.1^(3.1^x))')/((cos(sin(3.1^(3.1^x))))^2))))/((tan(sin(3.1^(3.1^x))))^2))*ln(9)+((6/tan(sin(3.1^(3.1^x))))*0)/9)*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(9^(6/tan(sin(3.1^(3.1^x))))*(((0*tan(sin(3.1^(3.1^x)))-(6*((cos(3.1^(3.1^x))*3.1^(3.1^x)*((3.1^x)'*ln(3.1)+(3.1^x*(3.1)')/3.1))/((cos(sin(3.1^(3.1^x))))^2))))/((tan(sin(3.1^(3.1^x))))^2))*ln(9)+((6/tan(sin(3.1^(3.1^x))))*0)/9)*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(9^(6/tan(sin(3.1^(3.1^x))))*(((0*tan(sin(3.1^(3.1^x)))-(6*((cos(3.1^(3.1^x))*3.1^(3.1^x)*((3.1^x)'*ln(3.1)+(3.1^x*0)/3.1))/((cos(sin(3.1^(3.1^x))))^2))))/((tan(sin(3.1^(3.1^x))))^2))*ln(9)+((6/tan(sin(3.1^(3.1^x))))*0)/9)*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(9^(6/tan(sin(3.1^(3.1^x))))*(((0*tan(sin(3.1^(3.1^x)))-(6*((cos(3.1^(3.1^x))*3.1^(3.1^x)*(ln(3.1)*3.1^x*ln(3.1)+(3.1^x*0)/3.1))/((cos(sin(3.1^(3.1^x))))^2))))/((tan(sin(3.1^(3.1^x))))^2))*ln(9)+((6/tan(sin(3.1^(3.1^x))))*0)/9)*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(9^(6/tan(sin(3.1^(3.1^x))))*(((0*tan(sin(3.1^(3.1^x)))-(6*((cos(3.1^(3.1^x))*3.1^(ln(3.1)*3.1^x))/((cos(sin(3.1^(3.1^x))))^2))))/((tan(sin(3.1^(3.1^x))))^2))*ln(9)+((6/tan(sin(3.1^(3.1^x))))*0)/9)*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(9^(6/tan(sin(3.1^(3.1^x))))*(((0*tan(sin(3.1^(3.1^x)))-(6*((cos(3.1^(3.1^x))*0^(3.1^x))/((cos(sin(3.1^(3.1^x))))^2))))/((tan(sin(3.1^(3.1^x))))^2))*ln(9)+((6/tan(sin(3.1^(3.1^x))))*0)/9)*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(9^(6/tan(sin(3.1^(3.1^x))))*(((0*tan(sin(3.1^(3.1^x)))-(6*(((ln(3.1))^2*cos(3.1^(3.1^x))*3.1^(3.1^x+x))/((cos(sin(3.1^(3.1^x))))^2))))/((tan(sin(3.1^(3.1^x))))^2))*ln(9)+((6/tan(sin(3.1^(3.1^x))))*0)/9)*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(9^(6/tan(sin(3.1^(3.1^x))))*(((-6*(ln(3.1))^2*cos(3.1^(3.1^x))*3.1^(3.1^x+x)*(cos(sin(3.1^(3.1^x))))^-2)/((tan(sin(3.1^(3.1^x))))^2))*ln(9)+((6/tan(sin(3.1^(3.1^x))))*0)/9)*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(9^(((6)'*tan(sin(3.1^(3.1^x)))-(6*(tan(sin(3.1^(3.1^x))))'))/((tan(sin(3.1^(3.1^x))))^2))*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(9^((0*tan(sin(3.1^(3.1^x)))-(6*(tan(sin(3.1^(3.1^x))))'))/((tan(sin(3.1^(3.1^x))))^2))*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(9^((0*tan(sin(3.1^(3.1^x)))-(6*((sin(3.1^(3.1^x)))'/((cos(sin(3.1^(3.1^x))))^2))))/((tan(sin(3.1^(3.1^x))))^2))*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(9^((0*tan(sin(3.1^(3.1^x)))-(6*((cos(3.1^(3.1^x))*(3.1^(3.1^x))')/((cos(sin(3.1^(3.1^x))))^2))))/((tan(sin(3.1^(3.1^x))))^2))*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(9^((0*tan(sin(3.1^(3.1^x)))-(6*((cos(3.1^(3.1^x))*3.1^(3.1^x)*((3.1^x)'*ln(3.1)+(3.1^x*(3.1)')/3.1))/((cos(sin(3.1^(3.1^x))))^2))))/((tan(sin(3.1^(3.1^x))))^2))*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(9^((0*tan(sin(3.1^(3.1^x)))-(6*((cos(3.1^(3.1^x))*3.1^(3.1^x)*((3.1^x)'*ln(3.1)+(3.1^x*0)/3.1))/((cos(sin(3.1^(3.1^x))))^2))))/((tan(sin(3.1^(3.1^x))))^2))*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(9^((0*tan(sin(3.1^(3.1^x)))-(6*((cos(3.1^(3.1^x))*3.1^(3.1^x)*(ln(3.1)*3.1^x*ln(3.1)+(3.1^x*0)/3.1))/((cos(sin(3.1^(3.1^x))))^2))))/((tan(sin(3.1^(3.1^x))))^2))*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(9^((0*tan(sin(3.1^(3.1^x)))-(6*((cos(3.1^(3.1^x))*3.1^(ln(3.1)*3.1^x))/((cos(sin(3.1^(3.1^x))))^2))))/((tan(sin(3.1^(3.1^x))))^2))*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(9^((0*tan(sin(3.1^(3.1^x)))-(6*((cos(3.1^(3.1^x))*0^(3.1^x))/((cos(sin(3.1^(3.1^x))))^2))))/((tan(sin(3.1^(3.1^x))))^2))*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(9^((0*tan(sin(3.1^(3.1^x)))-(6*(((ln(3.1))^2*cos(3.1^(3.1^x))*3.1^(3.1^x+x))/((cos(sin(3.1^(3.1^x))))^2))))/((tan(sin(3.1^(3.1^x))))^2))*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(0^(6/tan(sin(3.1^(3.1^x))))*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(((-6*(ln(3.1))^2*ln(9)*cos(3.1^(3.1^x))*3.1^(3.1^x+x)*(cos(sin(3.1^(3.1^x))))^-2*9^(6/tan(sin(3.1^(3.1^x)))))/((tan(sin(3.1^(3.1^x))))^2))*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(cos(cos(x)*(sin(x))^x))'))/((cos(cos(x)*(sin(x))^x))^2)

(((-6*(ln(3.1))^2*ln(9)*cos(3.1^(3.1^x))*3.1^(3.1^x+x)*(cos(sin(3.1^(3.1^x))))^-2*9^(6/tan(sin(3.1^(3.1^x)))))/((tan(sin(3.1^(3.1^x))))^2))*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*-sin(cos(x)*(sin(x))^x)*(cos(x)*(sin(x))^x)'))/((cos(cos(x)*(sin(x))^x))^2)

(((-6*(ln(3.1))^2*ln(9)*cos(3.1^(3.1^x))*3.1^(3.1^x+x)*(cos(sin(3.1^(3.1^x))))^-2*9^(6/tan(sin(3.1^(3.1^x)))))/((tan(sin(3.1^(3.1^x))))^2))*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*-sin(cos(x)*(sin(x))^x)*((cos(x))'*(sin(x))^x+cos(x)*((sin(x))^x)')))/((cos(cos(x)*(sin(x))^x))^2)

(((-6*(ln(3.1))^2*ln(9)*cos(3.1^(3.1^x))*3.1^(3.1^x+x)*(cos(sin(3.1^(3.1^x))))^-2*9^(6/tan(sin(3.1^(3.1^x)))))/((tan(sin(3.1^(3.1^x))))^2))*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*-sin(cos(x)*(sin(x))^x)*(cos(x)*((sin(x))^x)'-sin(x)*(sin(x))^x)))/((cos(cos(x)*(sin(x))^x))^2)

(((-6*(ln(3.1))^2*ln(9)*cos(3.1^(3.1^x))*3.1^(3.1^x+x)*(cos(sin(3.1^(3.1^x))))^-2*9^(6/tan(sin(3.1^(3.1^x)))))/((tan(sin(3.1^(3.1^x))))^2))*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*-sin(cos(x)*(sin(x))^x)*(cos(x)*(sin(x))^x*((x)'*ln(sin(x))+(x*(sin(x))')/sin(x))-sin(x)*(sin(x))^x)))/((cos(cos(x)*(sin(x))^x))^2)

(((-6*(ln(3.1))^2*ln(9)*cos(3.1^(3.1^x))*3.1^(3.1^x+x)*(cos(sin(3.1^(3.1^x))))^-2*9^(6/tan(sin(3.1^(3.1^x)))))/((tan(sin(3.1^(3.1^x))))^2))*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*-sin(cos(x)*(sin(x))^x)*(cos(x)*(sin(x))^x*((x)'*ln(sin(x))+(x*cos(x))/sin(x))-sin(x)*(sin(x))^x)))/((cos(cos(x)*(sin(x))^x))^2)

(((-6*(ln(3.1))^2*ln(9)*cos(3.1^(3.1^x))*3.1^(3.1^x+x)*(cos(sin(3.1^(3.1^x))))^-2*9^(6/tan(sin(3.1^(3.1^x)))))/((tan(sin(3.1^(3.1^x))))^2))*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*-sin(cos(x)*(sin(x))^x)*(cos(x)*(sin(x))^x*(1*ln(sin(x))+(x*cos(x))/sin(x))-sin(x)*(sin(x))^x)))/((cos(cos(x)*(sin(x))^x))^2)

(((-6*(ln(3.1))^2*ln(9)*cos(3.1^(3.1^x))*3.1^(3.1^x+x)*(cos(sin(3.1^(3.1^x))))^-2*9^(6/tan(sin(3.1^(3.1^x)))))/((tan(sin(3.1^(3.1^x))))^2))*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*-sin(cos(x)*(sin(x))^x)*(cos(x)*(sin(x))^1-sin(x)*(sin(x))^x)))/((cos(cos(x)*(sin(x))^x))^2)

(((-6*(ln(3.1))^2*ln(9)*cos(3.1^(3.1^x))*3.1^(3.1^x+x)*(cos(sin(3.1^(3.1^x))))^-2*9^(6/tan(sin(3.1^(3.1^x)))))/((tan(sin(3.1^(3.1^x))))^2))*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*-sin(cos(x)*(sin(x))^x)*(cos(x)*(cos(x))^x-sin(x)*(sin(x))^x)))/((cos(cos(x)*(sin(x))^x))^2)

(((-6*(ln(3.1))^2*ln(9)*cos(3.1^(3.1^x))*3.1^(3.1^x+x)*(cos(sin(3.1^(3.1^x))))^-2*9^(6/tan(sin(3.1^(3.1^x)))))/((tan(sin(3.1^(3.1^x))))^2))*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*-sin(cos(x)*(sin(x))^x)*(cos(x)*(sin(x))^x*(ln(sin(x))+(x*cos(x))/sin(x))-sin(x)*(sin(x))^x)))/((cos(cos(x)*(sin(x))^x))^2)

(((-6*(ln(3.1))^2*ln(9)*cos(3.1^(3.1^x))*3.1^(3.1^x+x)*(cos(sin(3.1^(3.1^x))))^-2*9^(6/tan(sin(3.1^(3.1^x)))))/((tan(sin(3.1^(3.1^x))))^2))*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*-sin(cos(x)*(sin(x))^x)*(cos(x)*(sin(x))^x*(ln(sin(x))+(x*cos(x))/sin(x))-(sin(x))^(x+1))))/((cos(cos(x)*(sin(x))^x))^2)

(((-6*(ln(3.1))^2*ln(9)*cos(3.1^(3.1^x))*3.1^(3.1^x+x)*(cos(sin(3.1^(3.1^x))))^-2*9^(6/tan(sin(3.1^(3.1^x)))))/((tan(sin(3.1^(3.1^x))))^2))*cos(cos(x)*(sin(x))^x)-(9^(6/tan(sin(3.1^(3.1^x))))*(-((cos(x)*(sin(x))^x*(ln(sin(x))+(x*cos(x))/sin(x))-(sin(x))^(x+1))*sin(cos(x)*(sin(x))^x)))))/((cos(cos(x)*(sin(x))^x))^2)

((-6*(ln(3.1))^2*ln(9)*cos(3.1^(3.1^x))*3.1^(3.1^x+x)*(cos(sin(3.1^(3.1^x))))^-2*9^(6/tan(sin(3.1^(3.1^x))))*cos(cos(x)*(sin(x))^x))/((tan(sin(3.1^(3.1^x))))^2)+9^(6/tan(sin(3.1^(3.1^x))))*sin(cos(x)*(sin(x))^x)*((sin(x))^(x+1)-(cos(x)*(sin(x))^x*(ln(sin(x))+(x*cos(x))/sin(x)))))/((cos(cos(x)*(sin(x))^x))^2)

The calculation above is a derivative of the function f (x)

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