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For f(x) = 2x16x² + 4 find the following. (A) f'(x) (B) The slope of the graph of f at x = -3

For f(x) = 2x16x² + 4 find the following. (A) f'(x) (B) The slope of the graph of f at x = -3

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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For f(x) = 2x4-16x² + 4 find the following. (A) f'(x) (B) The slope of the graph of f at x = -3 (C) The equation of the tangent line at x = -3 (D) The value(s) of x where the tangent line is horizontal (A) f'(x) =
Transcribed Image Text:For f(x) = 2x4-16x² + 4 find the following. (A) f'(x) (B) The slope of the graph of f at x = -3 (C) The equation of the tangent line at x = -3 (D) The value(s) of x where the tangent line is horizontal (A) f'(x) =
Expert Solution
Step 1

we have to find

a) f'(x)

b) slope at x=-3

c) equation of tangent at x=-3

d) values of x such that tangent is horizontal

steps

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