Derivative of (5sin(3x-pi/2))/(1-6x)^4

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Derivative of (5sin(3x-pi/2))/(1-6x)^4: 


((5*sin(3*x-(pi/2)))/((1-(6*x))^4))'

((5*sin(3*x-(pi/2)))'*(1-(6*x))^4-(5*sin(3*x-(pi/2))*((1-(6*x))^4)'))/(((1-(6*x))^4)^2)

(((5)'*sin(3*x-(pi/2))+5*(sin(3*x-(pi/2)))')*(1-(6*x))^4-(5*sin(3*x-(pi/2))*((1-(6*x))^4)'))/(((1-(6*x))^4)^2)

((0*sin(3*x-(pi/2))+5*(sin(3*x-(pi/2)))')*(1-(6*x))^4-(5*sin(3*x-(pi/2))*((1-(6*x))^4)'))/(((1-(6*x))^4)^2)

((0*sin(3*x-(pi/2))+5*cos(3*x-(pi/2))*(3*x-(pi/2))')*(1-(6*x))^4-(5*sin(3*x-(pi/2))*((1-(6*x))^4)'))/(((1-(6*x))^4)^2)

((0*sin(3*x-(pi/2))+5*cos(3*x-(pi/2))*((3*x)'+(-(pi/2))'))*(1-(6*x))^4-(5*sin(3*x-(pi/2))*((1-(6*x))^4)'))/(((1-(6*x))^4)^2)

((0*sin(3*x-(pi/2))+5*cos(3*x-(pi/2))*(3*(x)'+(3)'*x+(-(pi/2))'))*(1-(6*x))^4-(5*sin(3*x-(pi/2))*((1-(6*x))^4)'))/(((1-(6*x))^4)^2)

((0*sin(3*x-(pi/2))+5*cos(3*x-(pi/2))*(3*(x)'+0*x+(-(pi/2))'))*(1-(6*x))^4-(5*sin(3*x-(pi/2))*((1-(6*x))^4)'))/(((1-(6*x))^4)^2)

((0*sin(3*x-(pi/2))+5*cos(3*x-(pi/2))*(0*x+(-(pi/2))'+3*1))*(1-(6*x))^4-(5*sin(3*x-(pi/2))*((1-(6*x))^4)'))/(((1-(6*x))^4)^2)

((0*sin(3*x-(pi/2))+5*3*cos(3*x-(pi/2)))*(1-(6*x))^4-(5*sin(3*x-(pi/2))*((1-(6*x))^4)'))/(((1-(6*x))^4)^2)

(15*cos(3*x-(pi/2))*(1-(6*x))^4-(5*sin(3*x-(pi/2))*((1-(6*x))^4)'))/(((1-(6*x))^4)^2)

(15*cos(3*x-(pi/2))*(1-(6*x))^4-(5*sin(3*x-(pi/2))*4*(1-(6*x))^(4-1)*(1-(6*x))'))/(((1-(6*x))^4)^2)

(15*cos(3*x-(pi/2))*(1-(6*x))^4-(5*sin(3*x-(pi/2))*4*(1-(6*x))^(4-1)*((-(6*x))'+(1)')))/(((1-(6*x))^4)^2)

(15*cos(3*x-(pi/2))*(1-(6*x))^4-(5*sin(3*x-(pi/2))*4*(1-(6*x))^(4-1)*(6*(x)'+(6)'*x+(1)')))/(((1-(6*x))^4)^2)

(15*cos(3*x-(pi/2))*(1-(6*x))^4-(5*sin(3*x-(pi/2))*4*(1-(6*x))^(4-1)*(6*(x)'+0*x+(1)')))/(((1-(6*x))^4)^2)

(15*cos(3*x-(pi/2))*(1-(6*x))^4-(5*sin(3*x-(pi/2))*4*(1-(6*x))^(4-1)*(0*x+6*1+(1)')))/(((1-(6*x))^4)^2)

(15*cos(3*x-(pi/2))*(1-(6*x))^4-(5*sin(3*x-(pi/2))*4*(1-(6*x))^(4-1)*(0-6)))/(((1-(6*x))^4)^2)

(15*cos(3*x-(pi/2))*(1-(6*x))^4-(5*sin(3*x-(pi/2))*4*(1-(6*x))^(4-1)*(-6)))/(((1-(6*x))^4)^2)

(15*cos(3*x-(pi/2))*(1-(6*x))^4-(5*sin(3*x-(pi/2))*-24*(1-6*x)^3))/(((1-(6*x))^4)^2)

(15*cos(3*x-(pi/2))*(1-(6*x))^4+120*sin(3*x-(pi/2))*(1-(6*x))^3)/((1-(6*x))^8)

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

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