Consider the following. 7x8+y³ = 5x (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. 7x8+y³ = 5x (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' =
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
Section9.CR: Chapter 9 Review
Problem 54CR
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Transcribed Image Text:Consider the following.
7x8+y³ = 5x
(a) Find y' by implicit differentiation.
(b)
(c)
y' =
Solve the equation explicitly for y and differentiate to get y' in terms of x.
y' =
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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