If y = e^ x , then dy dx equals - Vidyadip

MCQ

If $y = {e^{\sqrt x }}$, then ${{dy} \over {dx}}$ equals

✓
${{{e^{\sqrt x }}} \over {2\sqrt x }}$
B
${{\sqrt x } \over {{e^{\sqrt x }}}}$
C
${x \over {{e^{\sqrt x }}}}$
D
${{2\sqrt x } \over {{e^{\sqrt x }}}}$

✓

Answer

Correct option: A.

${{{e^{\sqrt x }}} \over {2\sqrt x }}$

a
(a) $y = {e^{\sqrt x }}$

==> $\frac{{dy}}{{dx}} = {e^{\sqrt x }}.\frac{d}{{dx}}\sqrt x $

==> $\frac{{dy}}{{dx}} = \frac{{{e^{\sqrt x }}}}{{2\sqrt x }}$.

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