Question

equation of the tangent line of y=(1/2)arccosx
points are posted in!

Answer 1

\[(\frac{ -\sqrt{2} }{ 2 }, \frac{ 3\Pi }{ 8 })\]

Answer 2

Okay, so first you find the derivative of \(y\).

Answer 3

\[\frac{dy}{dx}=-\frac{1}{\sqrt{1-x^2}}\]

Answer 4

Remember the tangent line will have the form\[y=mx+b\]We use the derivative to find \(m\).

Answer 5

Then we plug the coordinate into the x and y and we can solve for b.