Derivative of (sin(pi*x/L))

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


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

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

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

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

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

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

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

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

pi*L^-1*cos((pi*x)/L)

pi*L^-1*cos((pi*x)/L)

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

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