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 x2 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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