Derivative of 3000sin((pi*x)/20)

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Derivative of 3000sin((pi*x)/20):


(3000*sin((pi*x)/20))'

(3000)'*sin((pi*x)/20)+3000*(sin((pi*x)/20))'

0*sin((pi*x)/20)+3000*(sin((pi*x)/20))'

0*sin((pi*x)/20)+3000*cos((pi*x)/20)*((pi*x)/20)'

0*sin((pi*x)/20)+3000*cos((pi*x)/20)*(((pi*x)'*20-(pi*x*(20)'))/(20^2))

0*sin((pi*x)/20)+3000*cos((pi*x)/20)*((((pi)'*x+pi*(x)')*20-(pi*x*(20)'))/(20^2))

0*sin((pi*x)/20)+3000*cos((pi*x)/20)*(((0*x+pi*(x)')*20-(pi*x*(20)'))/(20^2))

0*sin((pi*x)/20)+3000*cos((pi*x)/20)*(((0*x+pi*1)*20-(pi*x*(20)'))/(20^2))

0*sin((pi*x)/20)+3000*cos((pi*x)/20)*((pi*20-(pi*x*(20)'))/(20^2))

0*sin((pi*x)/20)+3000*cos((pi*x)/20)*((pi*20-(pi*x*0))/(20^2))

0*sin((pi*x)/20)+3000*(pi/20)*cos((pi*x)/20)

0*sin((pi*x)/20)+3000*((pi*cos((pi*x)/20))/20)

150*pi*cos((pi*x)/20)

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

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