This one don’t have area u have to divide it
We'll need to find the derivative of the given function with respect to x and then evaluate the result at the value pi/2.
<span>y = 8x sin(x) is a product: y = [8x] * [sin x]. We must use the product rule for differentiation:
dy/dx = [8x][cos x] + [sin x][8]
Now substitute pi/2 in the above derivative. We get:
(slope of tangent line) = dy/dx = [8pi/2][cos pi/2] + [sin pi/2][8]
The slope of the tangent line is m = [8pi/2][0] + [1][8] = 8
Thus, the equation of the tangent line is y-4pi = 8[x-pi/2], or
2y-8pi = 8[2x-pi]</span>
Given:
The graph of a line segment.
To find:
The distance between the pair of points.
Solution:
From the given graph it is clear that the end points of the line segment are (-3,-1) and (-2,-3).
The distance between these two points is:
On further simplification, we get
Therefore, the distance between the pair of point is about 2.2 units.