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Question 4 Let f be a function with domain all the reals such that f'(x) = x(x²-1)(x² - 7x+12) Determine the x values where f has horizontal tangent lines. Using a sign table, determine where f has tangent lines with positive slope.

Question 4 Let f be a function with domain all the reals such that f'(x) = x(x²-1)(x² - 7x+12) Determine the x values where f has horizontal tangent lines. Using a sign table, determine where f has tangent lines with positive slope.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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Solution to question 4 please
Question 3 In the previous assignment, in Problem 6 you used the expression below f(x) - f(a) lim x-a x-a to find the slope of a tangent to a function at x = a. One particular function was f(x) (a) Using the limit definition of the derivative, find f'(x). x+1 = 2x-1 (b) Using your answer in (a), evaluate f' at x = a. Is it the same answer as in the previous assignment, Problem 6(b)? Question 4 Let f be a function with domain all the reals such that f'(x) = x(x² - 1)(x² - 7x+12) Determine the x values where f has horizontal tangent lines. Using a sign table, determine where f has tangent lines with positive slope. Question 5 Find the derivatives below, do not simplify your answer. d (a) [(x³/2 + x² + 2) sin x] (b) dt [sin(t²) cos(sint)] d 5x+1 (c) dx tanx+sec x d (d) dx [(cot (3x) — (x² + 1)² In x) 1/2] a d cos x log2x (e) dx e+x3 d (f) dv ; [csc (In² (3v + 1))] "Feel free to wait until next Monday for this question."
Transcribed Image Text:Question 3 In the previous assignment, in Problem 6 you used the expression below f(x) - f(a) lim x-a x-a to find the slope of a tangent to a function at x = a. One particular function was f(x) (a) Using the limit definition of the derivative, find f'(x). x+1 = 2x-1 (b) Using your answer in (a), evaluate f' at x = a. Is it the same answer as in the previous assignment, Problem 6(b)? Question 4 Let f be a function with domain all the reals such that f'(x) = x(x² - 1)(x² - 7x+12) Determine the x values where f has horizontal tangent lines. Using a sign table, determine where f has tangent lines with positive slope. Question 5 Find the derivatives below, do not simplify your answer. d (a) [(x³/2 + x² + 2) sin x] (b) dt [sin(t²) cos(sint)] d 5x+1 (c) dx tanx+sec x d (d) dx [(cot (3x) — (x² + 1)² In x) 1/2] a d cos x log2x (e) dx e+x3 d (f) dv ; [csc (In² (3v + 1))] "Feel free to wait until next Monday for this question."
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Calculus For The Life Sciences
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ISBN:
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