Math Help - Finding the eq. of tangent line to this curve..

1. Finding the eq. of tangent line to this curve..

Hi! I'm struggling with this problem
Find an equation of the tangent line to the curve
at the point (1, 8).
I am stuck because while I'm solving this, I keep getting 0/0.
How would you solve this problem?
Thanks!

2. Re: Finding the eq. of tangent line to this curve..

1. Find the differentiated function.
2. put in the (x,y) in the f'(x).
3. write the slope-pt form.

3. Re: Finding the eq. of tangent line to this curve..

Rewrite as $y = 8x^{-\frac{1}{2}}$.

$\frac{dy}{dx} = -4x^{-\frac{3}{2}}$. At the point (1,8), $\frac{dy}{dx} = -4$.

Write the equation of the tangent line in point-slope form: $y - 8 = -4(x-1)$.