Derivative of x^5/2*e^x

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Derivative of x^5/2*e^x: 


(((x^5)/2)*e^x)'

((x^5)/2)'*e^x+((x^5)/2)*(e^x)'

(((x^5)'*2-(x^5*(2)'))/(2^2))*e^x+((x^5)/2)*(e^x)'

((5*x^(5-1)*2-(x^5*(2)'))/(2^2))*e^x+((x^5)/2)*(e^x)'

((5*x^4*2-(x^5*(2)'))/(2^2))*e^x+((x^5)/2)*(e^x)'

((5*x^4*2-(x^5*0))/(2^2))*e^x+((x^5)/2)*(e^x)'

((5*x^4)/2)*e^x+((x^5)/2)*(e^x)'

((5*x^4)/2)*e^x+((x^5)/2)*ln(e)*e^x

((5*x^4)/2)*e^x+((x^5)/2)*e^x

(10*x^4*e^x+2*x^5*e^x)/4

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

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