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

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


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

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

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

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

(0*x+3000*1)*sin((pi*x)/20)+3000*x*(sin((pi*x)/20))'

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

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

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

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

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

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

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

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

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

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

3000*sin((pi*x)/20)+150*pi*x*cos((pi*x)/20)

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

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