In Problems 31 and 32, do the following for each function
(a) Find
(b) Graph both
and
(c) Determine x-values where
(d) Determine x-values for which
Want to see the full answer?
Check out a sample textbook solutionChapter 9 Solutions
WebAssign Printed Access Card for Harshbarger/Reynolds' Mathematical Applications for the Management, Life, and Social Sciences, 12th Edition, Multi-Term
- If xis large, which function grows faster, f(x)=2x or g(x)=x2?arrow_forwardConsider the following. f(x) = x³ - 6x² + 1 (a) Find f'(x) and f"(x). 3x² - 12x f'(x) f"(x) = = 6x - 12 (b) Graph f(x), f'(x), and f'(x) with a graphing utility. -5 y 150 100 50 X -5 y 150 100 50arrow_forwardFind f. f"(x) =x6 - 4x4 +x +1arrow_forward
- (1) posted the screenshotarrow_forwardDifferentiate the function ƒ(x)=(4x+3/5x−2)^3.arrow_forwardConsider the following. f(x) = 3 = 6x2 47 (a) Find f'(x) and f"(x). F(x) = | 32 f(x) = | 6x - 12 3x²-12x X = (b) Graph f(x), f'(x), and f"(x) with a graphing utility. -5 y 150 100 X = 50 -50 -100 Excellent job! -150 Nice job! PR X Identify x-values where f"(x) > 0. (Enter your answer using interval notation.) -5 Identify x-values where f"(x) 0 or f"(x) 0 or f"(x) < 0? O F(x) = 0 0 f(x) < 0 y 50 -50 -100 -150 (d) Identify x-values where f'(x) has a maximum point or a minimum point. (Enter your answers as a comma-separated list.) Identify x-values where f'(x) is increasing. (Enter your answer using interval notation.) Identify x-values where f'(x) is decreasing. (Enter your answer using interval notation.) X -5 y 150 1sof 100 50 -50 -100 -150 * ه 5 ✔ Nicely done. y 150 100 50 -50 -100 -150arrow_forward
- if you let f and g be functions that satisfy f’(2)=2 and g’(2)=-1 , may you explain to me how to find h’(2) for each function h attached below?arrow_forwardFind the function f(x) if f''(x)=12x-6, f'(2)=4, and f(2)=-4arrow_forwardFind each of the following. In some cases, you may need to rewrite the function first. (a) F'(x) for f(x) = ax¹¹ + cx + b F'(x) (b) g(x) for g(x) g(x) = A(X) 11 (c) h (x) for h(x) = 13e" - w'(x) 1 TE El (d) w (x) for w(x) = (1) 11 + (+)*+√arrow_forward
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning