x'+8 The function f(x)=. has derivatives f'(x)-X-16 48 and f"(x)= (a) Determine the x- and y-intercepts. 40 (b) Determine the equations of any asymptotes and classify the behaviour at their endpoints. 5 (c) Determine the intervals of increase and decrease and classify any local extrema. (d) Determine the intervals of concavity and identify any points of -5 -10 10 inflection. (e) Complete the 2nd derivative test. -5 (f) Use this information to sketch the curve. Make sure all key features are clearly presented. 4.
x'+8 The function f(x)=. has derivatives f'(x)-X-16 48 and f"(x)= (a) Determine the x- and y-intercepts. 40 (b) Determine the equations of any asymptotes and classify the behaviour at their endpoints. 5 (c) Determine the intervals of increase and decrease and classify any local extrema. (d) Determine the intervals of concavity and identify any points of -5 -10 10 inflection. (e) Complete the 2nd derivative test. -5 (f) Use this information to sketch the curve. Make sure all key features are clearly presented. 4.
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.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 7YT: YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through...
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