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3. Find the equation of the tangent line to the function at the given point. Graph the function and tangent line to check your answer. (a) f(x)= x³+ 2 x² – 12 , a = 3 %3D (b) g(x) = x +2 e" , a = 0

3. Find the equation of the tangent line to the function at the given point. Graph the function and tangent line to check your answer. (a) f(x)= x³+ 2 x² – 12 , a = 3 %3D (b) g(x) = x +2 e" , a = 0

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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**Problem 3:** Find the equation of the tangent line to the function at the given point. Graph the function and tangent line to check your answer. **(a)** \( f(x) = x^3 + 2x^2 - 12 \), \( a = 3 \) **(b)** \( g(x) = x^4 + 2e^x \), \( a = 0 \)
Transcribed Image Text:**Problem 3:** Find the equation of the tangent line to the function at the given point. Graph the function and tangent line to check your answer. **(a)** \( f(x) = x^3 + 2x^2 - 12 \), \( a = 3 \) **(b)** \( g(x) = x^4 + 2e^x \), \( a = 0 \)
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