Question
Find $\frac{d^2 y}{d x^2}$ if,
$
y = e ^{ x }
$

Answer

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

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