Derivative of sin(10*pi/x)

Derivative of sin(10*pi/x). 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(10*pi/x):


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

cos((10*pi)/x)*((10*pi)/x)'

cos((10*pi)/x)*(((10*pi)'*x-(10*pi*(x)'))/(x^2))

cos((10*pi)/x)*((0*x-(10*pi*(x)'))/(x^2))

cos((10*pi)/x)*((0*x-(10*pi*1))/(x^2))

((-10*pi)/(x^2))*cos((10*pi)/x)

(-10*pi*cos((10*pi)/x))/(x^2)

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

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