Practicing Success
Practicing Success
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The derivative of $\sqrt{e^{\sqrt{x}}}$ with respect to x is : |
$\frac{\sqrt{e^{\sqrt{x}}}}{2\sqrt{x}}$ $\frac{e^{\sqrt{x}}}{4\sqrt{x}}$ $\frac{\sqrt{e^{\sqrt{x}}}}{4\sqrt{x}}$ $\frac{e^{\sqrt{x}}}{2\sqrt{x}}$ |
$\frac{\sqrt{e^{\sqrt{x}}}}{4\sqrt{x}}$ |
The correct answer is Option (3) → $\frac{\sqrt{e^{\sqrt{x}}}}{4\sqrt{x}}$ $y=e^{\sqrt{x}/2}$ so $\frac{dy}{dx}=e^{\sqrt{x}/2}(\frac{1}{4\sqrt{x}})=\frac{\sqrt{e^{\sqrt{x}}}}{4\sqrt{x}}$ |
