3. Differentiation(COLON) Composite, Implicit, and Inverse Functions

Implicit Differentiation — Quiz

Test your understanding of implicit differentiation with 5 practice questions.

Practice Questions

Question 1

What is the main reason implicit differentiation is useful when a relation is not already solved for $y$?

Question 2

For the equation $x^2+y^2=25$, what is the derivative $\frac{dy}{dx}$?

Question 3

When differentiating $y^3$ with respect to $x$ in an implicit equation, what derivative rule is used?

Question 4

Find $\frac{dy}{dx}$ if $xy=6$.

Question 5

For the equation $x^2+xy+y^2=7$, what is the result after differentiating both sides with respect to $x$?