If y=enx then nth derivative of y is:

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Solution

Q.
If $y = e^{n x},$ then $n^{th}$ derivative of $y$ is:

1 $e^{n x}$

2 $n^{2} e^{n x}$

3 $n y$

4 $n^{n} y$

Ans.
(4)

Ans. $n^{n} y$

Explanation:

$y = e^{n x}$

$y = n e^{n x}$

$y_{1} = n e^{n x}$

$y_{2} = n^{2} e^{n x}$

...............................

...............................

$y_{n}^{''} = n^{n} y$

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