Synonyms in Detail: differentiable and derivable Usage & Differences

What context can I use each word in?

Learn when and how to use these words with these examples!

differentiable

Example

The function is differentiable at x=2. [differentiable: adjective]

Example

The differentiability of the function is essential for its application in calculus. [differentiability: noun]

derivable

Example

The function f(x) = x^2 is derivable from the function g(x) = x^3. [derivable: adjective]

Example

The derivative of the function is derivable using the power rule. [derivable: adjective]

Good things to know

Which word is more common?

Derivable is more commonly used than differentiable in everyday language. Derivable is a more general term that can be used to describe a wide range of functions, while differentiable is a more technical term used in specific mathematical contexts.

What’s the difference in the tone of formality between differentiable and derivable?

Differentiable is a more formal term than derivable. It is typically used in academic or technical writing, while derivable is more versatile and can be used in both formal and informal contexts.

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