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We need to find the Y value when X equal 3.
So sticking in three for our X6 tangent π thirds divided by 12
is really six tangent π force.
Tangent of π force is just one.
So 6 * 1 is 6.
So our point is 3 sixths.
Now we need to find the slope so Y prime equals 6.
The derivative of tangent is secant squared Pi X / 12 and
then we have to multiply that by the derivative of the Pi X / 12,
so 6 secant squared Pi X / 12 * π twelfths, which would reduce
to π half secant squared Pi X / 12.
When we stick in the point X equal three, we get π half
secant squared π force and secant of π force is root 2, so
root 2 ^2 is 2 and 2 / 2 reduces.
So our slope at this location is just π.
Now we have a point and we have a slope, so we're going to stick
it into point slope y - 6 equal π times the quantity X - 3.
Distribute and solve for YY equal Pi X -, 3π + 6.