Quiz 4

Justify all answers with neat and organized work. Clearly indicate your answers. 20 points possible.

1. (4 pts.) Find the derivative. (You do not have to simplify your answer.)

f(x)=(3x-8)5(7x2-3)-4

2. (4 pts.) Find the absolute and local maximum and minimum values of each function. Begin by sketching the graph.

(a) f(x)=20-4x,       x ³ 1

(b) f(x)=20-4x,       x < 3

3. (4 pts.) Use differentials, showing all work, to estimate the following.

1 10.2

4. (8 pts.) Let f(x)=3x⁴-4x³+2. Use calculus methods, showing all work, to do the following.

(a) Find the intervals of increase or decrease.

(b) Find the local maximum and minimum values.

(c) Find the intervals of concavity and the inflection points.

(d) Use the information from parts (a), (b), and (c) to sketch the graph.

f(x)=3x4-4x3+2