noun

antiderivative

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Antiderivative (noun) means In calculus, an antiderivative is a function whose derivative equals a given function. Example: “An antiderivative of 2x is x squared.”

noun

calculus In calculus, an antiderivative is a function whose derivative equals a given function.

"An antiderivative of 2x is x squared."

"Finding an antiderivative is the reverse of differentiating a function."

"The two antiderivatives differed only by a constant."

How to use antiderivative

Learner’s notes

In plain EnglishAn antiderivative is a function you get by working backwards from a derivative.

When to use it

It belongs to the vocabulary of calculus and is used mainly in mathematical writing and teaching.

Memory tip

Since differentiating undoes an antiderivative, checking your answer by differentiating it is a reliable way to confirm you found it correctly.

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Easily confused with

derivative →

Common pairings

find an antiderivative general antiderivative antiderivative of a function

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C2 · Advanced serendipity Fortunate discoveries made entirely by accident.

Gen Z slang rizz Charm — the ability to attract a romantic interest.

B2 · Intermediate empathy The capacity to share another person’s feelings.

C1 · Advanced nonchalant Casually calm and relaxed; unconcerned.

Internet slang delulu Delusional — believing something against the odds.

Etymology nostalgia Greek nostos “return home” + algos “pain”.

C2 · Advanced serendipity Fortunate discoveries made entirely by accident.

Gen Z slang rizz Charm — the ability to attract a romantic interest.

B2 · Intermediate empathy The capacity to share another person’s feelings.

C1 · Advanced nonchalant Casually calm and relaxed; unconcerned.

Internet slang delulu Delusional — believing something against the odds.

Etymology nostalgia Greek nostos “return home” + algos “pain”.

Test yourself on “antiderivative” A quick quiz — meaning, synonyms & usage →

Fill the gap

Can you complete this real example?

An _____ of 2x is x squared.

Etymology

The word combines the prefix anti-, meaning opposite or reverse, with derivative. It names the operation that reverses differentiation.

Origin: English

Synonyms

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primitive integral

Antonyms

derivative

Related words

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Rhymes for antiderivative

five give dive live olive drive alive dative endive strive derive active

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Frequently asked questions

What is an antiderivative in simple terms?

It is a function that, when you differentiate it, gives you back the original function you started with.

Is antiderivative the same as integral?

The terms are used as synonyms, along with primitive, for a function that reverses differentiation.

What is the opposite of an antiderivative?

The derivative is treated as its antonym, since differentiating and finding an antiderivative are reverse operations.

What is the meaning of antiderivative?

"antiderivative" (noun) means in calculus, an antiderivative is a function whose derivative equals a given function.

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