Exercise · ZW-ANTIDERIVATIVE-009 · ★☆☆ Basic
Which is an antiderivative of \(f(x)=\frac{1}{x^{2}}\)?
Choose one option.
Show answer
- A. \(-\frac{1}{x} + C\)
Explanation
Differentiating \(-\frac{1}{x}\) gives \(\frac{1}{x^{2}}\), so it is an antiderivative of \(f\). 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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