Derivative of 4sin(x*pi/15)

Derivative of 4sin(x*pi/15). 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 4sin(x*pi/15):


(4*sin((pi*x)/15))'

(4)'*sin((pi*x)/15)+4*(sin((pi*x)/15))'

0*sin((pi*x)/15)+4*(sin((pi*x)/15))'

0*sin((pi*x)/15)+4*cos((pi*x)/15)*((pi*x)/15)'

0*sin((pi*x)/15)+4*cos((pi*x)/15)*(((pi*x)'*15-(pi*x*(15)'))/(15^2))

0*sin((pi*x)/15)+4*cos((pi*x)/15)*((((pi)'*x+pi*(x)')*15-(pi*x*(15)'))/(15^2))

0*sin((pi*x)/15)+4*cos((pi*x)/15)*(((0*x+pi*(x)')*15-(pi*x*(15)'))/(15^2))

0*sin((pi*x)/15)+4*cos((pi*x)/15)*(((0*x+pi*1)*15-(pi*x*(15)'))/(15^2))

0*sin((pi*x)/15)+4*cos((pi*x)/15)*((pi*15-(pi*x*(15)'))/(15^2))

0*sin((pi*x)/15)+4*cos((pi*x)/15)*((pi*15-(pi*x*0))/(15^2))

0*sin((pi*x)/15)+4*(pi/15)*cos((pi*x)/15)

0*sin((pi*x)/15)+4*((pi*cos((pi*x)/15))/15)

(4*pi*cos((pi*x)/15))/15

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