Vocabulary

Understand the term. Connect the concept.

A practical dictionary of 512 AI, machine learning, mathematics, and programming terms from HerbDev’s AI Vocabulary app. Start with a definition, explore an example, then follow the concepts behind it.

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Partial Derivative

Mathematics · Level 2 of 5

Partial Derivative

A derivative with respect to one variable while holding other inputs fixed.

It isolates one coordinate's local effect.

Example

A loss is differentiated with respect to one weight.

Listen to the definition and example

Audio transcript

Partial Derivative. A derivative with respect to one variable while holding other inputs fixed. It isolates one coordinate's local effect. For example: A loss is differentiated with respect to one weight.

Explore this concept

A useful analogy

Turning one knob while holding the other knobs fixed.

Why it matters

This notation connects model equations to the calculations implemented in code.

Technical detail

For f(x,y), ∂f/∂x differentiates in x while y remains fixed. Total change may also involve how y varies.

Common misconception

Holding other inputs fixed is part of the definition, not a claim that real variables never interact.

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Derivative

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Quick recall question

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