# 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)) #