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Find \(\rm \frac{d^2 (x^{10})}{dx^2}\)1. 10(x9)2. 90(x8)3. 90(x9)4. None of these |
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Answer» Correct Answer - Option 2 : 90(x8) Concept: \(\rm \frac{dx^{n}}{dx}= nx^{n-1}\) To Find: \(\rm \frac{d^2 (x^{10})}{dx^2}\) \(\rm \frac{d^2 (x^{10})}{dx^2} = \frac{d}{dx} \left(\frac{dx^{10}}{dx} \right )\) \(\rm = \frac{d}{dx} (10x^{9})= 10 \frac{dx^{9}}{dx}\) = 10 × 9 × x8 = 90(x8) |
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