How do you find the derivative of #sqrt (5x+2)#?
1 Answer
Jan 31, 2016
#5/(2(5x+2)^(1/2) )#
Explanation:
rewrite as
# (5x+2)^(1/2)# differentiate using
# color(blue)(" chain rule ")#
# d/dx (5x+2)^(1/2) = 1/2 (5x+2)^(-1/2) d/dx (5x+2) #
# = 1/2 (5x+2)^(-1/2) . 5 #
# = 5/2 (5x+2)^(-1/2) = 5/(2(5x+2)^(1/2)) #
