Derivative of 20sin(3x/2)

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Derivative of 20sin(3x/2):


(20*sin((3*x)/2))'

(20)'*sin((3*x)/2)+20*(sin((3*x)/2))'

0*sin((3*x)/2)+20*(sin((3*x)/2))'

0*sin((3*x)/2)+20*cos((3*x)/2)*((3*x)/2)'

0*sin((3*x)/2)+20*cos((3*x)/2)*(((3*x)'*2-(3*x*(2)'))/(2^2))

0*sin((3*x)/2)+20*cos((3*x)/2)*((((3)'*x+3*(x)')*2-(3*x*(2)'))/(2^2))

0*sin((3*x)/2)+20*cos((3*x)/2)*(((0*x+3*(x)')*2-(3*x*(2)'))/(2^2))

0*sin((3*x)/2)+20*cos((3*x)/2)*(((0*x+3*1)*2-(3*x*(2)'))/(2^2))

0*sin((3*x)/2)+20*cos((3*x)/2)*((3*2-(3*x*(2)'))/(2^2))

0*sin((3*x)/2)+20*cos((3*x)/2)*((3*2-(3*x*0))/(2^2))

0*sin((3*x)/2)+20*3/2*cos((3*x)/2)

30*cos((3*x)/2)

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

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