Partial Derivative - mathcube.uk

Meaning

What Is Partial Derivative?

A partial derivative differentiates a multivariable function with respect to one variable while holding the others constant.

Examples

1For f(x,y)=x²y, ∂f/∂x=2xy.

Understand

Formula / rule

∂f/∂x

Know the definition and standard notation for Partial Derivative.
Be able to recognise or compute partial derivative in a small example.
Connect the concept to nearby topics in the same subject before using it in larger CSE problems.

CSE Connection

Used in optimization, simulation, graphics, machine learning, control systems and numerical computing.

Keep Learning

FAQ

What is Partial Derivative?

A partial derivative differentiates a multivariable function with respect to one variable while holding the others constant.

Why is Partial Derivative useful in computer science?

Used in optimization, simulation, graphics, machine learning, control systems and numerical computing.