MATH 205 Midterm: MATH 205 KSU Test 3f08

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turquoisegnu128

15 Feb 2019

School

Kansas State University

Department

Mathematics

Course

MATH 205

Professor

All

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Document Summary

Use the back page as a sketch paper. For full credit, show your work in detail. Total: 100 #1 #2 #3 #4 #5 #6 #7 #8. The values of the derivative of a function are given in the following table: x f (x) Indicate each of them as a local minimum or a local maximum. Find all critical points of f (x) = x3 3x2 9x + 15 and identify each as local minima or local maxima of function f. Find all in ection points of f (x) = x4 + x3 3x2 + 2. page 2: (13pts). For f (x) = 3 ln x x, and 1 x 5, nd global minimal and global maximal values of f (x), and at where they are reached. The cost function of producing q items is given by: c(q) = q3 12q2 + 60q: a. (5 pts).

Related Questions

6. (14 pts) EXPLANATION IS NOT REQUIRED, AND NO PARTIAL CREDIT WILL BE GIVEN. The graph of f'(derivative of f) on the interval [-6, 7] is shown in the figure. y f(x) y = f'(x) -6 -5 -4 -3 2 L - 2 3 4 5 7 Use the given graph of f' to answer the following questions about f: (a) (2 pts) on what interval (or intervals) is f decreasing? (b) (3 pts) Find the critical points of f. (c) (2 pts) which critical points (or point) correspond to local maxima ? (d) (2 pts) which critical points (or point) correspond to neither local maxima nor local minima ? (e) (2 pts) on what interval (or intervals) is f concave up? (f) (3 pts) At what point (or points) does f have an inflection point ?