By first principles, the derivative is

Use the binomial theorem to expand the numerator:


where

The first term is eliminated, and the limit is

A power of
in every term of the numerator cancels with
in the denominator:

Finally, each term containing
approaches 0 as
, and the derivative is

The equation of line that passes through point (-3, 8) and has an undefined slope is x = -3
<u>Solution:</u>
Given that we have to find the equation of line that passes through point (-3, 8) and has an undefined slope
Since the line has an undefined slope. This informs us that it is a vertical line parallel to the y-axis and passing through all points in the plane with the same x-coordinate.
If the slope of the line is undefined, then, by definition the line is a vertical line.
For a vertical line, the value of x is the same for each and every value of y
Given point is (x, y) = (-3 , 8)
Because the value of x in the point provided in the problem is -3, we get
Equation of line is : x = -3
The sum of the interior angles of a polygon is (n-2)*180, n being the number of sides.
a nonagon has nine sides, so the total of interior angles is (9-2)*180=7*180
this is a regular nonagon, so each interior angle has the same degrees:
7*180/9=7*20=140
the exterior angle=180-the interior angle=180-140=40
40 is the correct answer.