# MATH 2301-102 Fall 2018 Calculus I Recitation 2 Week 3

See the coversheet for instructions and the point value of each problem.

1. Let $$f(x)=\sqrt{x}-2$$.
1. State the definition of the derivative as a limit.
2. Using this definition, compute $$f'(x)$$.
3. Find the equation for the tangent line at $$x=9$$.
4. Graph $$f(x)$$ and the tangent line.
2. For $$f(x)= (2x+1)^{-1}$$, compute $$\displaystyle\lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}=$$
3. The graph of a function $$f$$ is given in each part below. Copy this graph and then sketch the graph of $$f'$$ on the same axes.
4. Sketch the graph of a function $$g$$ for which $$g(0)=g'(0)=0$$, $$g'(-1)=-1$$, $$g'(1)=3$$, and $$g'(2)=1$$.