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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 3.1 - Problem 41e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 3.1 - Problem 41e

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# Matching functions with derivatives Match the functions ISBN: 9780321570567 2

## Solution for problem 41E Chapter 3.1

Calculus: Early Transcendentals | 1st Edition

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Problem 41E

Matching functions with derivatives? Match the functions (a)–(d) in the first set of figures with the derivative functions (A)–(D) in the next set of figures. (a) (b) (c) (d) (A) (B) (C) (D)

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SOLUTION To find the derivative of a line choose 2 points in the line (x y ),1, 1y ) 2nd 2ubstitute it in the y2y1 equation of the slope m = x2x1 In this question it is enough to find whether the slope is positive or negative and check which derivative graph(A-D) matches the conditions of which original graph(a-d). STEP 1 Take the graph (a) a) The derivative of the graph or the slope of the graph at all points of the function is positive. This condition is satisfied in the derivative graph D.ie for all the x-values D, Y-value is positive. STEP 2 Now take the graph (b). b) The derivative or the slope of the tangent is negative for x < 1 and x > 1 and is positive for 1 < x < 1. This condition is satisfied in the graph C,ie for x < 1 and x > 1 in C y value is negative and for 1 < x < 1, y value is positive. STEP 3 Now take the graph (c). The derivative or the slope of the tangent is negative for x < 0 and is positive for x > 0. This condition is satisfied in the graph B,ie for x < 0 in B y value is negative and for x > 0, y value is positive. STEP 4 The derivative or the slope of the tangent is negative at all points of the function. This condition is satisfied in the derivative graph A.ie for all the x-values A, Y-value is positive. 1

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##### ISBN: 9780321570567

Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since the solution to 41E from 3.1 chapter was answered, more than 339 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The full step-by-step solution to problem: 41E from chapter: 3.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This full solution covers the following key subjects: functions, set, figures, match, Derivatives. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The answer to “Matching functions with derivatives? Match the functions (a)–(d) in the first set of figures with the derivative functions (A)–(D) in the next set of figures. (a) (b) (c) (d) (A) (B) (C) (D)” is broken down into a number of easy to follow steps, and 33 words.

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