`f(x) = sqrt(x^2 - 4x + 2)` Find the derivative of the function.

Expert Answers
mathace eNotes educator| Certified Educator

Given `f(x)=sqrt(x^2-4x+2)`

Rewrite the function as `f(x)=(x^2-4x+2)^(1/2)`

Find the derivative using the Chain Rule.

`f'(x)=(1/2)(x^2-4x+2)^(-1/2)(2x-4)`

`f'(x)=(1/2)(2(x-2))/(x^2-4x+2)^(1/2)`

`f'(x)=(x-2)/(x^2-4x+2)^(1/2)`

`f'(x)=(x-2)/sqrt(x^2-4x+2)`