(a) Find the derivative of the following functions(i) y = x² sin* x + x cos-2 x.(ii) y = e(4v¤+z?),(b) Given the functionf(x) = x³ – 3x2 – 9x + 4.(a) Find the intervals on which f is increasing or decreasing.(b) Find the intervals of concavity (upward/downward) and the inflectionpoint.

Answered: Image /qna-images/answer/9dc9e643-4afb-4254-9758-b86e16560c1e.jpg

a) Find the derivative of the following functions (i) y = x² sin* x + x cos-2 x. (ii) y = e(4vz+z²). , b) Given the function f(x) = x³ – 3x2 – 9a + 4. | (a) Find the intervals on which f is increasing or decreasing. (b) Find the intervals of concavity (upward/downward) and the inflection point.

a) Find the derivative of the following functions (i) y = x² sin* x + x cos-2 x. (ii) y = e(4vz+z²). , b) Given the function f(x) = x³ – 3x2 – 9a + 4. | (a) Find the intervals on which f is increasing or decreasing. (b) Find the intervals of concavity (upward/downward) and the inflection point.

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

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