How do you find the derivative of # y= sqrt(x^2 + cos x)# using the chain rule?
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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)#
