What is the equation of the tangent line of #f(x) = sin^-1x/x# at #x=pi/4#?
1 Answer
To get the tangent of an equation at a point, we need to differentiate the equation and then use the derivative as a slope, substituting that value into the general slope equation.
So first, (assuming you do know how to differentiate according to quotient rule)
Substituting for
So
At,
Now, before we proceed, we need to simplify the slope equation first.
The given slope equation is
From the above case, we know the tangent passes through the point
So the equation for the tangent that occurs at
That's as simple as I can get it.