The Derivative as a Function Worksheet with Answer Key

What's on the worksheet

1. A function q has q(2) = 7, q'(2) = -3, q(5) = 1 and q'(5) = 4.
   \left.\dfrac{dq}{dx}\right\vert_{x = 5}\dfrac{d}{dx}\big[q(5)\big]\left.\dfrac{d}{dx}\big[q(x) - q(2)\big]\right\vert_{x = 5}q'(2) = -3
2. x y -2 -1 1 3 2 6 y = f
3. The figure shows the graph of f' for a function f that is continuous on [0, 8], with f(0) = 3.
4. x y -1 1 2 3 5 -4 4 y = f'
5. After a storm, Mason reads the water level $W
6. Andre's GPS logs his altitude A, in meters, at a few distances x, in kilometers, along a mountain trail.
7. A function f is defined for every x ≠ 0, and $f'