How do you differentiate #g(x) =e^x (x^3 + 4) # using the product rule?
1 Answer
Jan 23, 2016
Explanation:
The product rule states that
#g'(x)=(x^3+4)d/dx[e^x]+e^xd/dx[x^3+4]#
Find each derivative.
#g'(x)=(x^3+4)e^x+e^x(3x^2)#
Factor a common
#g'(x)=e^x(x^3+3x^2+4)#
