Step-by-step explanation:
Take the first derivative


Set the derivative equal to 0.




or

For any number less than -1, the derivative function will have a Positve number thus a Positve slope for f(x).
For any number, between -1 and 1, the derivative slope will have a negative , thus a negative slope.
Since we are going to Positve to negative slope, we have a local max at x=-1
Plug in -1 for x into the original function

So the local max is 2 and occurs at x=-1,
For any number greater than 1, we have a Positve number for the derivative function we have a Positve slope.
Since we are going to decreasing to increasing, we have minimum at x=1,
Plug in 1 for x into original function


So the local min occurs at -2, at x=1
To solve this question, we have to find the equation of the circle with given center and where it passes. Doing this, we get that the equation of the circle is:

Equation of a circle:
The equation of a circle with center
and radius r is given by:

Center at (16, 30)
This means that 
Thus

Passes through the origin:
We use this to find the radius squared, as this means that
is part of the circle. Thus



Thus, the equation of the circle is:

For another example to find the equation of a circle, you can look at brainly.com/question/23719612
Answer:
<em>Hey mate, here's ur answer:</em>
<em>---------------------------------------------------</em>
<em>-2x^5. 4x^2 </em>
<em>=(−2)*x5*4*x2
</em>
<em>=−8*x7
</em>
<u><em>=−8x7</em></u>
<em>--------------------------------------------------</em>
<em>Hope it helps</em>
<em>#stayhomestaysafemate</em>
<em>:D</em>