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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