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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=e^{\log x}
$
✓

Answer

$
y=e^{\log x}=x
$
$
\text { ... }\left[\because a^{\log _a x}=x\right]
$
Differentiating w.r.t. $x$, we get
$
\frac{d y}{d x}=\frac{d}{d x}(x)=1
$
Differentiating again w.r.t. $x$, we get
$
\frac{d^2 y}{d x^2}=\frac{d}{d x}(1)=0
$

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