If y=e^ -x , then d^2 y d x^2 is equal to - Vidyadip

MCQ

If $y=e^{-x}$, then $\frac{d^2 y}{d x^2}$ is equal to

A
$-y$
B
$y$
C
$x$
D
$-x$

✓

Answer

Given, $y=e^{-x}$
$\Rightarrow \quad \frac{d y}{d x}=-e^{-x} \Rightarrow \frac{d^2 y}{d x^2}=e^{-x}=y$

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