How do you use the chain rule to differentiate #y=(x+1)^(1/2)#?

1 Answer
Jul 31, 2016

#dy/dx = (1/2)(x+1)^(-1/2)#

Explanation:

First, we need to use the power rule to take the derivative of outside.

#dy/dx = (1/2)(x+1)^(-1/2)#

Chain rule basically tells you to take the derivative of inside of the function. In this case, the derivative of (x+1) is just 1, which wouldn't make any changes to previous derivative.

#dy/dx = (1/2)(x+1)^(-1/2)*1#