Follow the steps below for the given function. xy5y - 8 = 0 Solve the equation for y. y = 8 x-5 Nice! Differentiate this equation with respect to x. 8 y' = Amazing work! (x - 5)² Complete the steps below to implicitly take the derivative of the original equation. (Leave your final answer in terms of x and y.) xy – 5y – 8 = 0 d (xy) (5y) - (8) = (0) x. (y)+y. (x) - (5 Great job! 1 That's great! X +y- 5 X- 5 dy dx dx dx Nice work. Nicely done! dx 0 dy dx dy 0 = dx dy 0 = dx = 0 X

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Follow the steps below for the given function.
xy – 5y – 8 = 0
Solve the equation for y.
8
y =
Nice!
X
5
Differentiate this equation with respect to x.
8
y' =
Amazing work!
(x - 5)²
Complete the steps below to implicitly take the derivative of the original equation. (Leave your final answer in terms of x and y.)
xy – 5y – 8 = 0
d
-(8)
dx
d
(x) - (5)
=
-(0)
dx
dx
d
-(y) + y
5
Great job!
1
0
-(x)
dx
That's great!
=
5
X.
5²
dy
dx
X-
+ y -
(x - 5
dy
dx
dx
Nice work.
Nicely done!
dy
dx
dy
dx
dy
dx
=
0
0
0
X X
Transcribed Image Text:Follow the steps below for the given function. xy – 5y – 8 = 0 Solve the equation for y. 8 y = Nice! X 5 Differentiate this equation with respect to x. 8 y' = Amazing work! (x - 5)² Complete the steps below to implicitly take the derivative of the original equation. (Leave your final answer in terms of x and y.) xy – 5y – 8 = 0 d -(8) dx d (x) - (5) = -(0) dx dx d -(y) + y 5 Great job! 1 0 -(x) dx That's great! = 5 X. 5² dy dx X- + y - (x - 5 dy dx dx Nice work. Nicely done! dy dx dy dx dy dx = 0 0 0 X X
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