5. 2 Let f(x) = 5x4. +8√x - 3. x² (a) Find f'(x). (b) Find an equation for the tangent line to the graph of f(x) at x = 1.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section: Chapter Questions
Problem 15T
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2
Let f(x) = 5x4. +8√x - 3.
x²
(a) Find f'(x).
(b) Find an equation for the tangent line to the graph of f(x) at x = 1.
6.
Let f(x) = x³ + 6x² - 15x - 10.
a) Find the intervals of increase/decrease of the function.
b) Find the local maximum and minimum points.
c) Find the intervals on which the graph is concave up/down
d) Find the inflection point(s).
5.
Transcribed Image Text:2 Let f(x) = 5x4. +8√x - 3. x² (a) Find f'(x). (b) Find an equation for the tangent line to the graph of f(x) at x = 1. 6. Let f(x) = x³ + 6x² - 15x - 10. a) Find the intervals of increase/decrease of the function. b) Find the local maximum and minimum points. c) Find the intervals on which the graph is concave up/down d) Find the inflection point(s). 5.
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