How do you differentiate #f(x)=(x^2+4x)(x+2)^2# using the product rule?
1 Answer
Oct 29, 2017
Please see below.
Explanation:
# = 2(x+2)(x+2)^2+2x(x+2)(x-4)#
# = 2(x+2)[x+2)^2+x(x-4)]#
# = 2(x+2)[x^2+4x+4+x^2-4x]#
# = 2(x+2)[2x^2+4]#
# = 4(x+2)(x^2+2)#