3. Differential Calculus I

Implicit Differentiation — Quiz

Test your understanding of implicit differentiation with 5 practice questions.

Practice Questions

Question 1

What is the main idea of implicit differentiation?

Question 2

Differentiate $x^2+y^2=25$ implicitly with respect to $x$. What is $\frac{dy}{dx}$?

Question 3

If $xy=6$, what is $\frac{dy}{dx}$ in terms of $x$ and $y$?

Question 4

When differentiating $x^2y$ with respect to $x$, what is the correct result?

Question 5

What is $\frac{d}{dx}(y^3)$ when $y$ depends on $x$?