# How do you differentiate #f(x)=(x^3+2x)e^x#?

##### 1 Answer

Nov 22, 2017

#### Answer:

#### Explanation:

#"differentiate using the "color(blue)"product rule"#

#"given "f(x)=g(x)h(x)" then"#

#f'(x)=g(x)h'(x)+h(x)g'(x)larrcolor(blue)"product rule"#

#g(x)=x^3+2xrArrg'(x)=3x^2+2#

#h(x)=e^xrArrh'(x)=e^x#

#rArrf'(x)=(x^3+2x)e^x+(3x^2+2)e^x#

#color(white)(rArrf'(x))=e^x(x^3+3x^2+2x+2)#