Title: Implicit Differentiation PreVideo Questions
Course: Calculus I

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].
- 3 (Incorrect)
- 1 (Incorrect)
- 0 (Incorrect)
- -1 (Correct)
- (1)/(3) (Incorrect)
A: -1

Q: Suppose x and y are related by the equation sin ( y ) = x - y. Further suppose that  x changes by a very small amount, represented by d x. Write an expression for the corresponding change d y in y.
- (1)/(cos(y)+ 1)d x (Correct)
- (1)/(cos(x)+ 1)d x (Incorrect)
- (cos(y))/(x)d x (Incorrect)
- (x)/(cos(y))d x (Incorrect)
A: (1)/(cos(y)+ 1)d x

Q: Determine the slope of the line tangent to the curve (x)^(2)+(y)^(2)= 25 at the point (3,4).
- (4)/(5) (Incorrect)
- (- 3)/(4) (Correct)
- (- 4)/(5) (Incorrect)
- (3)/(5) (Incorrect)
- (- 3)/(5) (Incorrect)
A: (- 3)/(4)