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Directions: Study the guided solution to the given function. Fill in the blanks with the appropriate words, numbers or symbols to complete the solution. Find the slope of the tangent line to x - 3xy + y? = -1 at (2, 1). Solution: Implicitly x2 - 3xy + y2 = -1 yields 2x-3(x• +y•l)+2y = 0. dx %3D - (x, y) with (2, 1) gives dy 2(O - 3 2. dx +O!+2(1) •= -6-3+2 = 0 dx - dx 1-4 de dy dx Therefore, the slope of the tangent line is

Directions: Study the guided solution to the given function. Fill in the blanks with the appropriate words, numbers or symbols to complete the solution. Find the slope of the tangent line to x - 3xy + y? = -1 at (2, 1). Solution: Implicitly x2 - 3xy + y2 = -1 yields 2x-3(x• +y•l)+2y = 0. dx %3D - (x, y) with (2, 1) gives dy 2(O - 3 2. dx +O!+2(1) •= -6-3+2 = 0 dx - dx 1-4 de dy dx Therefore, the slope of the tangent line is

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 50E
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1-42 =0 Directions: Study the guided solution to the given function. Fill in the blanks with the appropriate words, numbers or symbols to complete the solution. Find the slope of the tangent line to x2 - 3xy + y? = -1 at (2, 1). Solution: Implicitly x2 - 3xy + y2 = -1 yields 2х - 3(х° dy = 0. +ye1)+2у: dx | (x, y) with (2, 1) gives 2(1). = 0 dx dx 65 -3+2 = 0 dx dx dy 1-42 dx %3D dy dx Therefore, the slope of the tangent line is
Transcribed Image Text:1-42 =0 Directions: Study the guided solution to the given function. Fill in the blanks with the appropriate words, numbers or symbols to complete the solution. Find the slope of the tangent line to x2 - 3xy + y? = -1 at (2, 1). Solution: Implicitly x2 - 3xy + y2 = -1 yields 2х - 3(х° dy = 0. +ye1)+2у: dx | (x, y) with (2, 1) gives 2(1). = 0 dx dx 65 -3+2 = 0 dx dx dy 1-42 dx %3D dy dx Therefore, the slope of the tangent line is
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