Derivative of sin(pi*x/4)

Derivative of sin(pi*x/4). 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(pi*x/4): 


(sin((pi*x)/4))'

cos((pi*x)/4)*((pi*x)/4)'

cos((pi*x)/4)*(((pi*x)'*4-(pi*x*(4)'))/(4^2))

cos((pi*x)/4)*((((pi)'*x+pi*(x)')*4-(pi*x*(4)'))/(4^2))

cos((pi*x)/4)*(((0*x+pi*(x)')*4-(pi*x*(4)'))/(4^2))

cos((pi*x)/4)*(((0*x+pi*1)*4-(pi*x*(4)'))/(4^2))

cos((pi*x)/4)*((pi*4-(pi*x*(4)'))/(4^2))

cos((pi*x)/4)*((pi*4-(pi*x*0))/(4^2))

(pi/4)*cos((pi*x)/4)

(pi*cos((pi*x)/4))/4

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

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