How do you use the product rule to find the derivative of #y=(x^3+2x)*e^x# ?

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Answer 1 · 2014-07-27T06:15:32

Answer, #y'=e^x*(x^3+3x^2+2x+2)#

Explanation :

Using Product Rule (which is also explained in the following problem) to solve this problem,

#y'=(x^3+2x)*(e^x)'+e^x(x^3+2x)'#

#y'=(x^3+2x)*e^x+e^x(3x^2+2)#

#y'=e^x*(x^3+3x^2+2x+2)#