SOLUTION: Apply the chain rule to find the derivatives of the following functions: a. g(x)=√(x^2+1) b. f(x)=1/((4x^2-7^2))

Algebra ->  Functions -> SOLUTION: Apply the chain rule to find the derivatives of the following functions: a. g(x)=√(x^2+1) b. f(x)=1/((4x^2-7^2))      Log On


   

Question 632029: Apply the chain rule to find the derivatives of the following functions:
a. g(x)=√(x^2+1)
b. f(x)=1/((4x^2-7^2))
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

 g(x) = sqrt%28x%5E2%2B1%29 ⇒ g' =+%281%2F2%29%2A2x%2A%28x%5E2%2B1%29%5E%28-1%2F2%29=+x%2A%28x%5E2%2B1%29%5E%28-1%2F2%29



f(x) = (4x^2+1)^-1   ⇒  f ' = -8x(4x^2+1)^-2