How do you find the derivative of y= sqrt(x^2 + cos x) using the chain rule?
1 Answer
Dec 14, 2015
Explanation:
Given
Rewrite :
Using both power and chain rule to differentiate this function
y'= 1/2(x^2+cosx)^(1/2 -1)*d/(dx)(x^2 + cosx)
=> 1/2 (x^2 + cosx)^(-1/2)*(2x-sinx)
=>(2x-sinx)/(2sqrt(x^2+cosx)