# What are the extrema of #f(x)=3+ 2x -x^2#?

##### 2 Answers

Oct 22, 2017

#### Answer:

Let's see.

#### Explanation:

Let the function given be

Now differentiating w.r.t

Now the second order derivative is :

Now, the second order derivative is negative.

Hence, the function only has an extrema & no minima.

Therefore the **point of maxima is #-2#.**

The **maximum value of the function is #f(-2)#.**

**Hope it Helps:)**

Oct 22, 2017

#### Answer:

Let's see.

#### Explanation:

Let the function given be

Now differentiating w.r.t

Now the second order derivative is :

Now, the second order derivative is negative.

Hence, the function only has an extrema & no minima.

Therefore the **point of maxima is #-2#.**

The **maximum value of the function is #f(-2)#.**

**Hope it Helps:)**