Derivative of 5*sin(4x/25)

Derivative of 5*sin(4x/25). 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 5*sin(4x/25):


(5*sin((4*x)/25))'

(5)'*sin((4*x)/25)+5*(sin((4*x)/25))'

0*sin((4*x)/25)+5*(sin((4*x)/25))'

0*sin((4*x)/25)+5*cos((4*x)/25)*((4*x)/25)'

0*sin((4*x)/25)+5*cos((4*x)/25)*(((4*x)'*25-(4*x*(25)'))/(25^2))

0*sin((4*x)/25)+5*cos((4*x)/25)*((((4)'*x+4*(x)')*25-(4*x*(25)'))/(25^2))

0*sin((4*x)/25)+5*cos((4*x)/25)*(((0*x+4*(x)')*25-(4*x*(25)'))/(25^2))

0*sin((4*x)/25)+5*cos((4*x)/25)*(((0*x+4*1)*25-(4*x*(25)'))/(25^2))

0*sin((4*x)/25)+5*cos((4*x)/25)*((4*25-(4*x*(25)'))/(25^2))

0*sin((4*x)/25)+5*cos((4*x)/25)*((4*25-(4*x*0))/(25^2))

0*sin((4*x)/25)+5*4/25*cos((4*x)/25)

(4/5)*cos((4*x)/25)

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

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