How do you differentiate # y= 4(sqrt(x^2 + x) - 1)^2# using the chain rule?
1 Answer
See below.
Explanation:
# = 8 (sqrt(x^2+x)-1) (1/(2sqrt(x^2+x)) * d/dx(x^2+x))#
# = 8 (sqrt(x^2+x)-1) (1/(2sqrt(x^2+x)) *(2x+1))#
# = (4(2x+1)(sqrt(x^2+x)-1))/sqrt(x^2+x) #
