# Pre-Calculus

posted by
**Ann** on
.

Let f(x) = [(√x)-7]/[(√x)+7]. What is f'(x)?

What is the easiest way to find the derivative of this? Should I remove all the radicals and use quotient rule, like

f'(x)= ((x^0.5) + 7)(0.5x^-0.5) - ((x^0.5)-7)(0.5x^-0.5) / ((x^0.5) + 7)^2

Is this right? How do I simplify this? please show me thanks