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# RE Quadratic functions 2 a. Show th at i , )) is any point ISBN: 9780321570567 2

## Solution for problem 39RE Chapter 3

Calculus: Early Transcendentals | 1st Edition

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Problem 39RE

RE Quadratic functions 2 a.? Show th ? a?t i?? ,? ? )) is any point on the gr?ap? h of ?f(x? ?) = x , then the slope of the tangent line at that p?oint i?s m ? = 2?a. b.? Sho? ? t?hat if (?a, ?f(?a)) is any point on t? e? graph ? f ?? ?) =? x + c ? x + ? , then the slope of the tangent line at t?hat poi? nt i?s ?m = 2?ab + c ? .

Step-by-Step Solution:

Solution Step 1: Given the graph of ) = x2 we have to show tha t if (a, f )) is any point on the grap h of ) = x , then the slope of the tangent line at that p oint is m = 2 . Recall that the geometrical meaning of derivative at any point is slope of the tangent line at that point Therefore to show the slope of the tangent line we have to find the derivative of f(x)=x at (a, (a)) (a) Given f(x ) = x2 f’(x)= (f(x)) dx d 2 = dx ) d f’(x)=2x ( dx ) = nx n1 ) (a, )) is any po in t on the graph of f ) = x2 The slope of the tangent line at point (a,f(a)) is f(x) = 2x (a,f(a)) (a,f(a) =2a Therefore m=2a the slope of the ta ngent line at that point is m = 2a . Step 2: (b) Given f(x ) = x + c x + d, f’(x)= (f(x)) dx d 2 = dxx +cx+d) d f’(x)=2bx+c (dxx ) = nx n1 ) ( , )) is any point on the graph of f (x) = x + cx + d,

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##### ISBN: 9780321570567

The answer to “RE Quadratic functions 2 a.? Show th ? a?t i?? ,? ? )) is any point on the gr?ap? h of ?f(x? ?) = x , then the slope of the tangent line at that p?oint i?s m ? = 2?a. b.? Sho? ? t?hat if (?a, ?f(?a)) is any point on t? e? graph ? f ?? ?) =? x + c ? x + ? , then the slope of the tangent line at t?hat poi? nt i?s ?m = 2?ab + c ? .” is broken down into a number of easy to follow steps, and 87 words. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. Since the solution to 39RE from 3 chapter was answered, more than 340 students have viewed the full step-by-step answer. This full solution covers the following key subjects: any, slope, point, hat, line. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The full step-by-step solution to problem: 39RE from chapter: 3 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1.

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