How do you differentiate #f(x)=(sinx+x)(x+e^x)# using the product rule?
1 Answer
Dec 26, 2015
Apply the product rule to find:
#d/(dx) f(x) = (cos x + 1)(x+e^x) + (sin x + x)(1 + e^x)#
Explanation:
The product rule tells us that:
#d/(dx) u(x)v(x) = u'(x)v(x)+u(x)v'(x)#
So with
#d/(dx) f(x) = (cos x + 1)(x+e^x) + (sin x + x)(1 + e^x)#
