Differentiation Question 255
Question: If $ y={e^{\sqrt{x}}} $ , then $ \frac{dy}{dx} $ equals
[SCRA 1996]
Options:
A) $ \frac{{e^{\sqrt{x}}}}{2\sqrt{x}} $
B) $ \frac{\sqrt{x}}{{e^{\sqrt{x}}}} $
C) $ \frac{x}{{e^{\sqrt{x}}}} $
D) $ \frac{2\sqrt{x}}{{e^{\sqrt{x}}}} $
Show Answer
Answer:
Correct Answer: A
Solution:
$ y={e^{\sqrt{x}}} $
Therefore $ \frac{dy}{dx}={e^{\sqrt{x}}}.\frac{d}{dx}\sqrt{x} $
Therefore $ \frac{dy}{dx}=\frac{{e^{\sqrt{x}}}}{2\sqrt{x}} $ .
BETA
