How do you differentiate #f(x)=(x^2+1)^3# using the chain rule?
1 Answer
Feb 23, 2016
Explanation:
Using the
#color(blue)" chain rule " #
#d/dx(f(g(x)) = f'(g(x)) .g'(x)# here
# g(x) = (x^2 + 1 )#
#rArr f'(x) = 3(x^2 + 1)^2 d/dx (x^2 + 1 ) #
#= 3(x^2 + 1 )^2 . 2x = 6x(x^2 + 1 )^2 #
