49. Find (f)'(3) if f(x) = x³ + x + 1.

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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45-48. Slopes of tangent lines Given the function f, find the slope
the line tangent to the graph of f-l at the specified point on the
of f~1.
45. f(x) = Vx; (2, 4)
46. f(x) = x3; (8, 2)
47. f(x) = (x + 2)²; (36, 4)
48. f(x) = -x² + 8; (7,
49-52. Derivatives and inverse functions
49. Find (fl)'(3) if f(x) = x³ + x + 1.
%3D
50. Find the slope of the curve y = f(x) at (4, 7) if the slope
curve y = f(x) at (7, 4) is .
Transcribed Image Text:45-48. Slopes of tangent lines Given the function f, find the slope the line tangent to the graph of f-l at the specified point on the of f~1. 45. f(x) = Vx; (2, 4) 46. f(x) = x3; (8, 2) 47. f(x) = (x + 2)²; (36, 4) 48. f(x) = -x² + 8; (7, 49-52. Derivatives and inverse functions 49. Find (fl)'(3) if f(x) = x³ + x + 1. %3D 50. Find the slope of the curve y = f(x) at (4, 7) if the slope curve y = f(x) at (7, 4) is .
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