Let f(x)=(sqrt x)-2/(sqrt x)+2 and f'(4)=? would be?

Asked on by good2beme

1 Answer | Add Yours

embizze's profile pic

embizze | High School Teacher | (Level 2) Educator Emeritus

Posted on

Find `f'(4)` if `f(x)=(sqrt(x)-2)/(sqrt(x)+2)` :

Write as `f(x)=(x^(1/2)-2)/(x^(1/2)+2)` then use the quotient rule: `(f/g)'=(gf'-fg')/g^2`


Then `f'(4)=(2/sqrt(4))/(sqrt(4)+2)^2=1/16`





We’ve answered 319,846 questions. We can answer yours, too.

Ask a question