Explanation Given Information: The provided equation of the curve is, 8 x y + y 2 − x 2 + 38 x = 217 and the point is ( 3 , 4 ) . Formula used: The slope of tangent to a curve y = f ( x ) at point ( x , y ) is given by the derivative of the curve at that point. The equation of a line passing through points ( x 1 , y 1 ) and slope m is given by, y − y 1 = m ( x − x 1 ) Calculation: Consider the provided equation of curve, 8 x y + y 2 − x 2 + 38 x = 217 Now, find the derivative d y d x from 8 x y + y 2 − x 2 + 38 x = 217 by taking the derivative term by term on both sides of the equation as, d d x ( 8 x y ) + d d x ( y 2 ) − d d x ( x 2 ) + d d x ( 38 x ) = d d x ( 217 ) 8 x d y d x + 8 y d x d x + 2 y d y d x − 2 x + 38 = 0 8 x y ′ + 8 y + 2 y y ′ − 2 x + 38 = 0 Solve

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ISBN: 9780357865095

Author: HARSHBARGER

Publisher: CENGAGE L

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Chapter 11.3, Problem 30E

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To calculate: The equation of the tangent line to the curve 8xy+y2−x2+38x=217 at (3,4).

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Chapter 11.3, Problem 29E

Chapter 11.3, Problem 31E

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Chapter 11 Solutions

MATHEMATICAL APPLICATIONS FOR THE MGT

Ch. 11.1 - 1. Ch. 11.1 - 2. If Ch. 11.1 - Prob. 3CP Ch. 11.1 - 4. Find . Ch. 11.1 - Prob. 1E Ch. 11.1 - Prob. 2E Ch. 11.1 - Prob. 3E Ch. 11.1 - Prob. 4E Ch. 11.1 - Prob. 5E Ch. 11.1 - Find the derivatives of the functions in Problems...

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The equation of the tangent line to the curve 8 x y + y 2 − x 2 + 38 x = 217 at ( 3 , 4 ) .

Solution Summary: The author calculates the equation of the tangent line to the curve 8xy+y2-x 2+38x=217 at (3,4)

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To calculate: The equation of the tangent line to the curve 8xy+y2−x2+38x=217 at (3,4).

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Chapter 11 Solutions