If `y=e^(sqrt(x))+e^(-sqrt(x))," then "(dy)/(dx)` is equal to

Options

A. `(e^(sqrt(x))-e^(-sqrt(x)))/(2sqrt(x))`
B. `(e^(sqrt(x))-e^(-sqrt(x)))/(2x)`
C. `(1)/(2sqrt(x))sqrt(y^(2)-4)`
D. `(1)/(2sqrt(x))sqrt(y^(2)+4)`

Explanation

To find the derivative of the function \( y = e^{\sqrt{x}} + e^{-\sqrt{x}} \), we will follow these steps:

### Step 1: Write down the function
We start with the function:
\[ y = e^{\sqrt{x}} + e^{-\sqrt{x}} \]

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