Find the derivative of `e^(sinx )` from the first principle.

Explanation

To find the derivative of \( y = e^{\sin x} \) from the first principle, we will follow these steps:

### Step 1: Define the increment in \( y \)
Let \( \Delta y \) be the increment in \( y \) corresponding to an increment \( \Delta x \) in \( x \). Thus, we have:
\[ \Delta y = e^{\sin(x + \Delta x)} - e^{\sin x} \]

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