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Differentiation (p-1) — Maths (commerce) STD 12 Commerce / Arts — Question

Maharashtra BoardEnglish MediumSTD 12 Commerce / ArtsMaths (commerce)Differentiation (p-1)1 Mark
Question
Find $\frac{d^2 y}{d x^2}$, if $y =\log x$
✓

Answer

$
y=\log x
$
Differentiating w.r.t. $x$, we get
$
\frac{d y}{d x}=\frac{d}{d x}(\log x)=\frac{1}{x}
$
Differentiating again w.r.t. $x$, we get
$
\frac{d^2 y}{d x^2}=\frac{d}{d x}\left(\frac{1}{x}\right)=-\frac{1}{x^2}
$

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