Consider the following. 6 x − 1 y = 7 (a) Find y ′ by implicit differentiation. y ′ = (b) Solve the equation explicitly for y and differentiate to get y ′ in terms of x. y ′ = (c) Check that your solutions to parts (a) and (b) are consistent by substituting the expression for y into your solution for part (a). y ′ =
Consider the following. 6 x − 1 y = 7 (a) Find y ′ by implicit differentiation. y ′ = (b) Solve the equation explicitly for y and differentiate to get y ′ in terms of x. y ′ = (c) Check that your solutions to parts (a) and (b) are consistent by substituting the expression for y into your solution for part (a). y ′ =
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Question
Consider the following.
6 |
x |
1 |
y |
(a)
Find
y ′
by implicit differentiation.y ′ =
(b)
Solve the equation explicitly for y and differentiate to get
y ′
in terms of x.y ′ =
(c)
Check that your solutions to parts (a) and (b) are consistent by substituting the expression for y into your solution for part (a).
y ′ =
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