# Find the derivative of the function using the definition of the derivative. g(x) = 11 − x

We will use the concept of derivative by the first principle in order to find the derivative of the given function.

## Answer: Using the definition of the derivative, the derivative of the function g(x) = 11 − x is -1.

Let us see how we will use the concept of derivative by the first principle in order to find the derivative.

**Explanation:**

Given: g(x) = 11 − x

The first principle derivative states that.

f' (x) = [f(x + h) - f(x)] / h where h is very very less than 0.

In terms of g(x) we have,

g' (x) = [g(x + h) - g(x)] / h where h << 0.

Now substituting the values in the above function we get,

g' (x) = [11 - (x + h) - 11 + x] / h

g' (x) = -h / h = -1