# Differentiate y = e^{x} (1 + x)

We will use the concept of differentiation in order to find the value of dy / dx.

## Answer: Differentiation of y = e^{x} (1 + x) is dy / dx = e^{x} (2 + x)

Let us see how we will use the concept of differentiation in order to find the value of dy / dx.

**Explanation:**

The function that is given to us is y = e^{x} (1 + x)

The function can also be written as y = e^{x} + e^{x} x

On differentiating both sides using product rule of differentiation we get,

dy / dx = d ( e^{x} ) / dx + d ( e^{x} x ) / dx

= e^{x} + e^{x} dx / dx + x d (e^{x} ) / dx

= e^{x} + e^{x} + x e^{x}

= 2e^{x} + xe^{x}

= e^{x} (2 + x)

### Hence, for the given function y = e^{x} (1 + x), dy / dx = e^{x} (2 + x).

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