Explanation Given Information: The provided equation of the curve is, y 2 + x 2 + x y = 13 and point is ( 2 , 3 ) . 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. According to the product rule of derivative, d d x ( u ⋅ v ) = u d v d x + v d u d x Calculation: Consider the provided equation of curve, y 2 + x 2 + x y = 13 Now, find the derivative d y d x from y 2 + x 2 + x y = 13 by taking the derivative term by term on both sides of the equation as, d d x ( y 2 ) + d d x ( x 2 ) + d d x ( x y ) = 0

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ISBN: 8220100546235

Author: Reynolds

Publisher: CENGAGE L

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Chapter 11.3, Problem 26E

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To calculate: The slope of the tangent line to the curve y2+x2+xy=13 at (2,3).

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Chapter 11.3, Problem 25E

Chapter 11.3, Problem 27E

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Chapter 11 Solutions

EBK MATHEMATICAL APPLICATIONS FOR THE M

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 slope of the tangent line to the curve y 2 + x 2 + x y = 13 at ( 2 , 3 ) .

Solution Summary: The author explains the formula used to calculate the slope of the tangent line to the curve.

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To calculate: The slope of the tangent line to the curve y2+x2+xy=13 at (2,3).

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