If y = e^ (1 + _e x) , then the value of dy dx = - Vidyadip

MCQ

If $y = {e^{(1 + {{\log }_e}x)}}$, then the value of ${{dy} \over {dx}} = $

✓
$e$
B
$1$
C
$0$
D
${\log _e}x\,\,{e^{{{\log }_e}ex}}$

✓

Answer

Correct option: A.

$e$

a
(a) $y = {e^{1 + {{\log }_e}x}} = {e^1}.{e^{{{\log }_e}x}} = e.x $

$\Rightarrow \frac{{dy}}{{dx}} = e$.

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