What is the derivative of #1/(x+1)#?
1 Answer
Feb 10, 2016
# -1/(x+1)^2 #
Explanation:
rewrite
# 1/(x+1) = (x+1)^-1 # and using the
#color(blue)(" chain rule ")#
# d/dx(f(g(x)) = f'(g(x)) . g'(x) #
# d/dx ((x+1)^-1) = -1 (x+1)^-2 d/dx(x+1) #
# = -(x+1)^-2 .1 = -1/(x+2)^2 #
