Derivative of sin(20x)/sin(10x)

Derivative of sin(20x)/sin(10x). 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 sin(20x)/sin(10x): 


(sin(20*x)/sin(10*x))'

((sin(20*x))'*sin(10*x)-(sin(20*x)*(sin(10*x))'))/((sin(10*x))^2)

(cos(20*x)*(20*x)'*sin(10*x)-(sin(20*x)*(sin(10*x))'))/((sin(10*x))^2)

(cos(20*x)*((20)'*x+20*(x)')*sin(10*x)-(sin(20*x)*(sin(10*x))'))/((sin(10*x))^2)

(cos(20*x)*(0*x+20*(x)')*sin(10*x)-(sin(20*x)*(sin(10*x))'))/((sin(10*x))^2)

(cos(20*x)*(0*x+20*1)*sin(10*x)-(sin(20*x)*(sin(10*x))'))/((sin(10*x))^2)

(20*cos(20*x)*sin(10*x)-(sin(20*x)*(sin(10*x))'))/((sin(10*x))^2)

(20*cos(20*x)*sin(10*x)-(sin(20*x)*cos(10*x)*(10*x)'))/((sin(10*x))^2)

(20*cos(20*x)*sin(10*x)-(sin(20*x)*cos(10*x)*((10)'*x+10*(x)')))/((sin(10*x))^2)

(20*cos(20*x)*sin(10*x)-(sin(20*x)*cos(10*x)*(0*x+10*(x)')))/((sin(10*x))^2)

(20*cos(20*x)*sin(10*x)-(sin(20*x)*cos(10*x)*(0*x+10*1)))/((sin(10*x))^2)

(20*cos(20*x)*sin(10*x)-(sin(20*x)*10*cos(10*x)))/((sin(10*x))^2)

(20*cos(20*x)*sin(10*x)-(10*sin(20*x)*cos(10*x)))/((sin(10*x))^2)

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

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