See the coversheet for instructions and the point value of each problem.
- Let \(f(x)=\sqrt{x}-2\).
- State the definition of the derivative as a limit.
- Using this definition, compute \(f'(x)\).
- Find the equation for the tangent line at \(x=9\).
- Graph \(f(x)\) and the tangent line.
- For \(f(x)= (2x+1)^{-1}\), compute
\( \displaystyle\lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}=\)
- 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.
- Sketch the graph of a function \(g\) for which \(g(0)=g'(0)=0\),
\(g'(-1)=-1\), \(g'(1)=3\), and \(g'(2)=1\).
Last modified: Fri Sep 7 14:44:31 UTC 2018