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Differentiation of Derivatives — Applied Maths STD 11 Science — Question

CBSE BoardEnglish MediumSTD 11 ScienceApplied MathsDifferentiation of Derivatives1 Mark
Question
If $y=\frac{1}{x^{11}}$ then $\frac{d y}{d x}=$_________________
✓

Answer

$-\frac{11}{x^{12}}$, because
Given that, $\quad y=\frac{1}{x^{11}}$
$\therefore \quad \frac{d y}{d x}=\frac{d}{d x}\left(x^{-11}\right)$
$\begin{array}{l}=-11 \cdot x^{-11-1} \\ =-\frac{11}{x^{12}}\end{array}$

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