- #1
Dustobusto
- 32
- 0
Homework Statement
compute f'(x) using the limit definition.
f(x) = [itex]\sqrt{x}[/itex]
Homework Equations
f'(x) = [itex]\stackrel{lim}{h→0}[/itex] [itex]\frac{f(x+h)-f(x)}{h}[/itex]
The Attempt at a Solution
Plugging in the function values gives you
f'(x) = [itex]\stackrel{lim}{h→0}[/itex] [itex]\frac{\sqrt{(x+h)}-\sqrt{x}}{h}[/itex]
The end result is [itex]\frac{1}{2\sqrt{x}}[/itex] according to answer key.
I'm not sure how to go about solving. It's the square roots that are screwing me up. I have forgotten how to solve for square roots.
I've solved 6 problems within this context before coming across this one.