Definition

Able to have a derivative calculated, meaning it can be differentiated in mathematics.

Example

The function is differentiable at every point in its domain.

Conversation

Did you understand the concept of differentiable functions from class?

Not really, I found it a bit confusing, to be honest.

It's not too bad once you get the hang of it; they just need to have a derivative.

Oh, that makes sense! I’ll review my notes to clarify that.

Synonyms & Antonyms

Root Explanation

Differentiable → It is formed from "differre" (from Latin, meaning to carry apart or to differ) and the suffix "-able" (meaning capable of). The word "differentiable" means capable of being differentiated, or having a derivative in calculus.

Memory Tip

Think of something that is 'capable of being carried apart' — 'differre' means to differ or carry apart, and '-able' means capable. This helps you remember that 'differentiable' refers to a function that can be differentiated.

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