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Unformatted text preview: Name Homework 8
Section 3.4 1. (3) Compute the derivative of f (x) = (3x2 − 4)3 . x 2. (4ea) Find the quantities below using the table. (a) h (−1) if h(x) = (f (x))2 (b) k (−1) if k (x) = g (f (x2 )) 1
1
3 f (x) f (x)
5
1/2 3
2 4
1 g (x) g ( x) 2 3
4
6 1/3 7 3. (3) Find the second derivative of f (x) = ex 2 +2 √ . 4. (4) Given y = 2x2 + 2x + 1, nd the exact coordinates of the point at which the
tangent line to the graph is horizontal. 5. (1ea) Find the mean and variance of the normal distribution of statistics using the
information in part (a) and (b) given that
m(t) = eµt+σ (a) Mean= m (0) (b) Variance= m (0) − (m (0))2 2 t2 /2 . ...
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 Spring '08
 KENNEDY
 Derivative, Normal Distribution, Standard Deviation, Variance, Probability theory, Cumulant, exact coordinates

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