What is a Gradient MCQ | Vector Calculus for AI Multiple Choice Questions

Direction: Choose the correct option

What is the gradient of a scalar function?

A. A scalar value

B. A vector of partial derivatives

C. The function's value

D. A matrix

Direction: Choose the correct option

The gradient points in the direction of:

A. Steepest descent

B. Zero change

C. Maximum curvature

D. Steepest ascent

Direction: Choose the correct option

For f(x,y)=x^2+y^2, what is the gradient at (1,1)?

A. (2,2)

B. (0,0)

C. (1,1)

D. (2,0)

Direction: Choose the correct option

The magnitude of the gradient indicates:

A. Curvature

B. Function value

C. Steepness of the slope

D. Direction

Direction: Choose the correct option

If the gradient is zero at a point, that point is a:

A. All of the above

B. Saddle point

C. Inflection point

D. Critical point

Quipoin Menu