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The work below is not correct. There are a few errors. Indicate all the errors that are presented below. f(x) = V1– a? f(x + h) – f(x) = lim h→0 f' (x) (1) h - (x + h)² – V1 - 72 = lim h→0 (2) h 1 – x² + 2xh + h² – /1 – x² V lim h→0 (V1 – x² + 2xh + h² + /1 – æ² (3) 1- x2 + 2xh + h² + 1+ x2 = lim h→0 (4) h 2+ 2xh + h² = lim h→0 (5) = lim 2 + 2x + h h→0 (6) = 2 + 2x (7) In line (1), the Definition of the Derivative is not correct. In line (2), f(x +h) is not evaluated correctly. In line (3), there are 1 or more sign errors. In line (3), the expression should be divided by the conjugate of the numerator. In line (4), there are 1 or more sign errors. In line (5), there should be an x² term. In line (5), it is not a valid step to cancel out a factor of h in the numerator There is incorrect use of limit notation in this work.

The work below is not correct. There are a few errors. Indicate all the errors that are presented below. f(x) = V1– a? f(x + h) – f(x) = lim h→0 f' (x) (1) h - (x + h)² – V1 - 72 = lim h→0 (2) h 1 – x² + 2xh + h² – /1 – x² V lim h→0 (V1 – x² + 2xh + h² + /1 – æ² (3) 1- x2 + 2xh + h² + 1+ x2 = lim h→0 (4) h 2+ 2xh + h² = lim h→0 (5) = lim 2 + 2x + h h→0 (6) = 2 + 2x (7) In line (1), the Definition of the Derivative is not correct. In line (2), f(x +h) is not evaluated correctly. In line (3), there are 1 or more sign errors. In line (3), the expression should be divided by the conjugate of the numerator. In line (4), there are 1 or more sign errors. In line (5), there should be an x² term. In line (5), it is not a valid step to cancel out a factor of h in the numerator There is incorrect use of limit notation in this work.

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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The work below is not correct. There are a few errors. Indicate all the errors that are presented below. f(x) = V1– a? f(x + h) – f(x) = lim h→0 f' (x) (1) h - (x + h)² – V1 - 72 = lim h→0 (2) h 1 – x² + 2xh + h² – /1 – x² V lim h→0 (V1 – x² + 2xh + h² + /1 – æ² (3) 1- x2 + 2xh + h² + 1+ x2 = lim h→0 (4) h 2+ 2xh + h² = lim h→0 (5) = lim 2 + 2x + h h→0 (6) = 2 + 2x (7) In line (1), the Definition of the Derivative is not correct. In line (2), f(x +h) is not evaluated correctly. In line (3), there are 1 or more sign errors. In line (3), the expression should be divided by the conjugate of the numerator. In line (4), there are 1 or more sign errors. In line (5), there should be an x² term. In line (5), it is not a valid step to cancel out a factor of h in the numerator There is incorrect use of limit notation in this work.
Transcribed Image Text:The work below is not correct. There are a few errors. Indicate all the errors that are presented below. f(x) = V1– a? f(x + h) – f(x) = lim h→0 f' (x) (1) h - (x + h)² – V1 - 72 = lim h→0 (2) h 1 – x² + 2xh + h² – /1 – x² V lim h→0 (V1 – x² + 2xh + h² + /1 – æ² (3) 1- x2 + 2xh + h² + 1+ x2 = lim h→0 (4) h 2+ 2xh + h² = lim h→0 (5) = lim 2 + 2x + h h→0 (6) = 2 + 2x (7) In line (1), the Definition of the Derivative is not correct. In line (2), f(x +h) is not evaluated correctly. In line (3), there are 1 or more sign errors. In line (3), the expression should be divided by the conjugate of the numerator. In line (4), there are 1 or more sign errors. In line (5), there should be an x² term. In line (5), it is not a valid step to cancel out a factor of h in the numerator There is incorrect use of limit notation in this work.
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