WBJEE FTC Higher Derivatives — practice questions

Explore 1 free FTC Higher Derivatives questions in WBJEE Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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FTC Higher Derivatives questions and exercises with answers

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If $\displaystyle f(x) = \int_0^x t \sin t\, dt$, then $f''(\pi) = ?$Read the answer and worked solution →

Worked practice questions

If $\displaystyle f(x) = \int_0^x t \sin t\, dt$, then $f''(\pi) = ?$

$-\pi$
$\pi$
$0$
$1$

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Correct answer: A. $-\pi$

By FTC, $f'(x) = x\sin x$. **Differentiating:** $f''(x) = \sin x + x\cos x$. At $x = \pi$: $f''(\pi) = \sin\pi + \pi\cos\pi = 0 + \pi(-1) = -\pi$.

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WBJEE FTC Higher Derivatives — practice questions

FTC Higher Derivatives questions and exercises with answers

Worked practice questions

If $\displaystyle f(x) = \int_0^x t \sin t\, dt$, then $f''(\pi) = ?$

How to practise

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