a. Let y = f(x) = 2x² + 2. For x > 0, let A(x) denote the area under the graph of f from 0 to x. Find A' (2). b. Find the function whose slope is x(x² + 1) at each point x and whose graph passes through the origin.
a. Let y = f(x) = 2x² + 2. For x > 0, let A(x) denote the area under the graph of f from 0 to x. Find A' (2). b. Find the function whose slope is x(x² + 1) at each point x and whose graph passes through the origin.
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 2E
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![a. Let y = f(x) = 2x² + 2. For x > 0, let A(x) denote the area under the graph of f from 0 to x.
Find A' (2).
b. Find the function whose slope is x(x² + 1) at each point x and whose graph passes through the
origin.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa97b4339-3796-41d4-8f87-3a0bbf4698b7%2Fd52cdcb7-35c5-4d20-873c-8a53106f92d9%2F48gm8us_processed.png&w=3840&q=75)
Transcribed Image Text:a. Let y = f(x) = 2x² + 2. For x > 0, let A(x) denote the area under the graph of f from 0 to x.
Find A' (2).
b. Find the function whose slope is x(x² + 1) at each point x and whose graph passes through the
origin.
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