Exercise · ZW-ANTIDERIVATIVE-004 · ★★☆ Intermediate
Which is an antiderivative of \(f(x)=\sec^{2} {x}\)?
Choose one option.
Show answer
- B. \(\tan {x} + C\)
Explanation
An antiderivative of f is a function whose derivative is f. Check by differentiating: \((\tan {x})'=\frac{1}{\cos^{2} {x}}\). The other options have a different derivative.
Review the concept: Antiderivative
An antiderivative of \(f\) is a function \(F\) such that \(F^{\prime}=f\). If \(F\) is an antiderivative of \(f\), all the others on an interval differ from \(F\) by a constant.
\[F'(x)=f(x)\]
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