5. Tangent Planes and Chain Rule

Directional Derivatives And Gradients — Quiz

Test your understanding of directional derivatives and gradients with 5 practice questions.

Practice Questions

Question 1

What is the gradient of a differentiable function of two variables?

Question 2

When computing a directional derivative in the direction of a vector $v$, what must you do to $v$ first?

Question 3

If $\nabla f$ is the zero vector at a point, what is the directional derivative at that point in any direction?

Question 4

What does the gradient vector point toward at a point?

Question 5

What is $\nabla f(x,y)$ for $f(x,y)=x^2+4y$?