Follow the steps below for the given function. x³ 4x² - xy = 7 Solve the equation for y. y = Differentiate this equation with respect to x. y' = Complete the steps below to implicitly take the derivative of the original equation. (Leave your final answer in terms of x and y.) x³ 4x² - xy = 7 (-xy) dx -xy = 7x³+4x² y- -(x) = dx dy dx dy dx (7) - (x³). + dx dx 0 - 3x² + -3x² + (4x²) dx +y

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Follow the steps below for the given function.
x³ - 4x² - xy = 7
Solve the equation for y.
y =
Differentiate this equation with respect to x.
y' =
Complete the steps below to implicitly take the derivative of the original equation. (Leave your final answer in terms of x and y.)
x³ - 4x² - xy = 7
d
dx
-x__(y)
-X- - Y
-xy = 7 - x³ + 4x²
-xy) =
d
-(7)
dx
d
-(x) = 0 − 3x² +
dx
dy
dx
-X-
dy
dx
=
-3x² +
-(x³) + d (4x²)
dx
dx
+ Y
Transcribed Image Text:Follow the steps below for the given function. x³ - 4x² - xy = 7 Solve the equation for y. y = Differentiate this equation with respect to x. y' = Complete the steps below to implicitly take the derivative of the original equation. (Leave your final answer in terms of x and y.) x³ - 4x² - xy = 7 d dx -x__(y) -X- - Y -xy = 7 - x³ + 4x² -xy) = d -(7) dx d -(x) = 0 − 3x² + dx dy dx -X- dy dx = -3x² + -(x³) + d (4x²) dx dx + Y
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