Maths-

General

Easy

Question

# The function is

- always decreasing
- always increasing
- partially decreasing
- partially increasing

Hint:

### We are given a function. We have to find if it's decreasing or increasing. A function is said to be decreasing if it's first order derivative is negative. A function is increasing if it's first order derivative is positive. So, we will take the first order derivative of the given function.

## The correct answer is: always decreasing

### The given function is

f(x) = 1 +

We will find the first order derivative of the given function.

The quantity x^{2 } will be always positive.

So, the value of the function due to the negative sign will be always negative

It means f'(x) < 0

So, the given function is always decreasing.

We have to see the rules for a increasing and decreasing function.

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