Title: Implicit Differentiation PostVideo Questions
Course: Calculus Videos Project Modules

Q: Suppose [Image: equation] and [Image: equation] represent the measures of covarying quantities and that the covariation of [Image: equation] and [Image: equation] is constrained by the equation [Image: equation]. At what rate does [Image: equation] change with respect to [Image: equation] when [Image: equation] and [Image: equation]?
- -2 (Incorrect)
- -1 (Incorrect)
- -1/2 (Incorrect)
- -0.4 (Incorrect)
- -0.16 (Correct)
- 0 (Incorrect)
- 1/2 (Incorrect)
- 1 (Incorrect)
- 2 (Incorrect)
- 3 (Incorrect)
- 4 (Incorrect)
- 5 (Incorrect)
- Another answer not listed above (Incorrect)
A: -0.16

Q: Suppose [Image: equation] and [Image: equation] are related by the equation [Image: equation]. Further suppose that [Image: equation] changes by a very small amount, represented by [Image: equation]. Write an expression for the corresponding change in [Image: equation].
- [Image: equation] (Incorrect)
- [Image: equation] (Incorrect)
- [Image: equation] (Incorrect)
- [Image: equation] (Correct)
- [Image: equation] (Incorrect)
- [Image: equation] (Incorrect)
- [Image: equation] (Incorrect)
- [Image: equation] (Incorrect)
- [Image: equation] (Incorrect)
- Another answer not listed above (Incorrect)
A: [Image: equation]

Q: Determine the slope of the line tangent to the curve [Image: equation] at the point (4,3).
- [Image: equation] (Correct)
- [Image: equation] (Incorrect)
- [Image: equation] (Incorrect)
- [Image: equation] (Incorrect)
- [Image: equation] (Incorrect)
- [Image: equation] (Incorrect)
- [Image: equation] (Incorrect)
- [Image: equation] (Incorrect)
- Another answer not listed above (Incorrect)
A: [Image: equation]