Calculus

Product Rule

The product rule differentiates the product of two functions.

Meaning

What Is Product Rule?

The product rule differentiates the product of two functions.

The product rule differentiates the product of two functions.

Examples

Examples of Product Rule

1d/dx[x·sin x]=sin x+x cos x.
Understand

Formula and Key Points

Formula / rule
(fg)′=f′g+fg′
  • Know the definition and standard notation for Product Rule.
  • Be able to recognise or compute product rule in a small example.
  • Connect the concept to nearby topics in the same subject before using it in larger CSE problems.
CSE Connection

Why This Matters in Computer Science

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

FAQ

Product Rule: Frequently Asked Questions

What is Product Rule?

The product rule differentiates the product of two functions.

Why is Product Rule useful in computer science?

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