MATH 3332 Name:



MATH 2411 Name: ______________________________

Chapter 4 Practice Test Fall 2011

Show your work for full credit.

A. For y = x2 , use the formal definition to find the derivative of y = x2 at x = 4.

B. Differentiate the following functions

1) [pic] (Use quotient rule.)

2) [pic]

3) [pic]

4) f (x) = sin (x5 + 4x3)

5) f (x) = e-x tan x

6) f (x) = ln (cos 5x8)

7) y = x x-4

C. Find the equation of the tangent line to the curve y = x3 + 5x at x = -2.

D. Find [pic]

E. Find the first and second derivatives of the following functions.

1) y = x2 ln x y( = _____________________________

y(( = _____________________________

2) [pic] y( = _____________________________

y(( = _____________________________

F. Let f (x) = x3 – 4. Find the derivative of the inverse [pic]

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