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Given to the right is the graph of the function f(x) =(x² +2)" (dark graph) and its second derivative f"(x) (lighter graph). a. Find the equation of the tangent line to f(x) at x= 2.

Given to the right is the graph of the function f(x) =(x² +2)" (dark graph) and its second derivative f"(x) (lighter graph). a. Find the equation of the tangent line to f(x) at x= 2.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Chain Rule and Trigonometric Functions
1. Given to the right is the graph of the function f(x) =(x² +2)¨ (dark graph) and its second derivative f"(x) (lighter graph). a. Find the equation of the tangent line to f(x) at x= 2. 0.4 0.2 t0.2 b. Find a formula for f"(x). c. Graphically estimate the interval on which f(x) is concave down. Then use your formula for the second derivative to find the exact interval on which f(x) is concave down.
Transcribed Image Text:1. Given to the right is the graph of the function f(x) =(x² +2)¨ (dark graph) and its second derivative f"(x) (lighter graph). a. Find the equation of the tangent line to f(x) at x= 2. 0.4 0.2 t0.2 b. Find a formula for f"(x). c. Graphically estimate the interval on which f(x) is concave down. Then use your formula for the second derivative to find the exact interval on which f(x) is concave down.
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