Problem 6: Given the function f(x) = 3x² + 2x - 10, then (a) find the derivative function f'(1) by using the definition f'(a) = lim h→0 Answer (a): (b) Find an equation of the line tangent to the graph of f at the point (1, f(1)). f(a+h)-f(a) h

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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Given the function ?(?) = 3?2 + 2? − 10, then

(a) find the derivative function ?′(1) by using the definition ?′(?) = limh→0 f(a+h)-f(a)/h

(b) Find an equation of the line tangent to the graph of f at the point (1, f(1)).

(c) (i) Graph f and (ii) the tangent line.

Problem 6: Given the function f(x) = 3x² + 2x − 10, then
(a) find the derivative function f'(1) by using the definition f'(a) = lim
h→0
Answer (a):
(b) Find an equation of the line tangent to the graph of fat the point (1, f(1)).
f(a+h)-f(a)
h
Transcribed Image Text:Problem 6: Given the function f(x) = 3x² + 2x − 10, then (a) find the derivative function f'(1) by using the definition f'(a) = lim h→0 Answer (a): (b) Find an equation of the line tangent to the graph of fat the point (1, f(1)). f(a+h)-f(a) h
(c) (i) Graph fand (ii) the tangent line.
Transcribed Image Text:(c) (i) Graph fand (ii) the tangent line.
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