APFIVE Evaluating a Derivative at a Point
For the function $$f(x)=\frac{1}{x+2}$$, the derivative is given by $$f'(x)=-\frac{1}{(x+2)^2}$$. Solve for the derivative at x = 0 by evaluating $$f'(0)=-\frac{1}{(0+2)^2}$$.
| Function | $$f(x)=\frac{1}{x+2}$$ |
|---|---|
| Derivative | $$f'(x)=-\frac{1}{(x+2)^2}$$ |
| Evaluate at x=0 | $$f'(0)=-\frac{1}{4}$$ |
A
$$-\frac{1}{2}$$
B
$$\frac{1}{2}$$
C
$$\frac{1}{4}$$
D
$$-\frac{1}{4}$$
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