The equation (NOT a function!) y6 – 4y = x – 2 has a graph that goes through the point (5, – 1). 16. Find an equation that describes the slope , for any point (x, y) that is on the graph for this equation. Use implicit differentiation to find your answer. Show your work! а. dx b. Using your answer for question 16a, what is the numeric value for the slope for the graph of this equation, when it goes through the point (5, –1)? Show your work!

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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The equation (NOT a function!) y6 – 4y = x – 2 has a graph that goes
through the point (5, – 1).
16.
Find an equation that describes the slope ,
is on the graph for this equation. Use implicit differentiation to find
your answer. Show your work!
for any point (x, y) that
а.
dx
b.
Using your answer for question 16a, what is the numeric value for the
slope for the graph of this equation, when it goes through the point
(5, –1)? Show your work!
Transcribed Image Text:The equation (NOT a function!) y6 – 4y = x – 2 has a graph that goes through the point (5, – 1). 16. Find an equation that describes the slope , is on the graph for this equation. Use implicit differentiation to find your answer. Show your work! for any point (x, y) that а. dx b. Using your answer for question 16a, what is the numeric value for the slope for the graph of this equation, when it goes through the point (5, –1)? Show your work!
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