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Let f(x) = x - x³. (a) Find the slope of the tangent line to the graph of f at the point (1, 0) using the definition given below and by using the alternate equation. f(a+h)-f(a) h f'(a) = lim h→0 Now find the slope of the tangent line to the graph of f at the point (1, 0) using the alternate equation. f(x) = f(a) x-a y = f'(a) = lim x-a (b) Use your results in part (a) to write an equation for the tangent line. (c) Use technology to graph f and the tangent line in the same viewing window. y 4 2 y 2 nition of the derviative to... | bartleby 4 4 4 X 2 4 2 4 -4 ℗

Let f(x) = x - x³. (a) Find the slope of the tangent line to the graph of f at the point (1, 0) using the definition given below and by using the alternate equation. f(a+h)-f(a) h f'(a) = lim h→0 Now find the slope of the tangent line to the graph of f at the point (1, 0) using the alternate equation. f(x) = f(a) x-a y = f'(a) = lim x-a (b) Use your results in part (a) to write an equation for the tangent line. (c) Use technology to graph f and the tangent line in the same viewing window. y 4 2 y 2 nition of the derviative to... | bartleby 4 4 4 X 2 4 2 4 -4 ℗

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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Let f(x) = x - x³. (a) Find the slope of the tangent line to the graph of f at the point (1, 0) using the definition given below and by using the alternate equation. f(a+h)-f(a) h f'(a) = lim h→0 Now find the slope of the tangent line to the graph of f at the point (1, 0) using the alternate equation. f(x) = f(a) x - a y = f'(a) = = lim x→a (b) Use your results in part (a) to write an equation for the tangent line. (c) Use technology to graph f and the tangent line in the same viewing window. -2 4 2 -2 2 4 X -4 -2 -2 -4 2 of the derviative to... | bartleby 4 X Ⓡ 2 -2 2 4 AT&T-TimeOL X
Transcribed Image Text:Let f(x) = x - x³. (a) Find the slope of the tangent line to the graph of f at the point (1, 0) using the definition given below and by using the alternate equation. f(a+h)-f(a) h f'(a) = lim h→0 Now find the slope of the tangent line to the graph of f at the point (1, 0) using the alternate equation. f(x) = f(a) x - a y = f'(a) = = lim x→a (b) Use your results in part (a) to write an equation for the tangent line. (c) Use technology to graph f and the tangent line in the same viewing window. -2 4 2 -2 2 4 X -4 -2 -2 -4 2 of the derviative to... | bartleby 4 X Ⓡ 2 -2 2 4 AT&T-TimeOL X
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