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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.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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(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 function f(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 inflection point.
Transcribed Image Text:(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 function f(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 inflection point.
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