5. Analytical Applications of Differentiation

Exploring Behaviors Of Implicit Relations — Quiz

Test your understanding of exploring behaviors of implicit relations with 5 practice questions.

Practice Questions

Question 1

Which statement best describes an implicit relation?

Question 2

For the curve $x^2+y^2=25$, what is $\frac{dy}{dx}$ at the point $(3,4)$?

Question 3

For the curve $x^2+xy+y^2=7$, what is $\frac{dy}{dx}$ at the point $(1,2)$?

Question 4

On the circle $x^2+y^2=16$, where are the tangent lines vertical?

Question 5

If $\frac{dy}{dx}<0$ along an interval of an implicit curve, what does that tell you?