Find the function f given that the slope of the tangent line at any point (x, f(x)) is f '(x) and that the graph of f passes through the given point. ƒ'(x) = 7 (2x - 5); (3, 2) f(x) = (1/7)(2x - 5)² +33/14

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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Find the function f given that the slope of the tangent line at any point (x, f(x)) is f '(x) and that the graph of f passes through the given point.
f’(z)=7(2z – 5) : (3,5)
f(x) = (1/7)(2x − 5)7 +33/14
X
Transcribed Image Text:Find the function f given that the slope of the tangent line at any point (x, f(x)) is f '(x) and that the graph of f passes through the given point. f’(z)=7(2z – 5) : (3,5) f(x) = (1/7)(2x − 5)7 +33/14 X
Find the indefinite integral.
[ +² (2r² + 9)³ dr
[2²
(25+9) 10
16
X
+ C
Transcribed Image Text:Find the indefinite integral. [ +² (2r² + 9)³ dr [2² (25+9) 10 16 X + C
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