Explanation Given: The given equation is y = x 4 − 7 x 3 + x 2 − 3 at ( 0 , − 3 ) Concept Used: To find an equation of the tangent line to the graph of an equation y = f ( x ) at the a point ( a , b ) First find slope of the equation at the prescribed point as: m = d y d x | ( a , b ) Now, the equation of the tangent line to the graph of the equation is y = m x + c Put ( a , b ) coordinate in y = m x + c to find the value of c Calculation: To find an equation of the tangent line to the graph of y = x 4 − 7 x 3 + x 2 − 3 at ( 0 , − 3 ) First find slope of the equation at the prescribed point as: m = d y d x | ( a , b ) For that differentiate both side of the equation with respect to x as y = x 4 − 7 x 3 + x 2 − 3 d d x y = d d x ( x 4 − 7 x 3 +

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 3, Problem 37SP

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To find an equation of the tangent line to the graph of given equation at the given point.

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Chapter 3, Problem 36SP

Chapter 3, Problem 38SP

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Chapter 3 Solutions

Calculus

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To find an equation of the tangent line to the graph of given equation at the given point.

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To find an equation of the tangent line to the graph of given equation at the given point.

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Chapter 3 Solutions