# Math Help - Help with implicit differentiation

1. ## Help with implicit differentiation

Hi there, I need help with the following problem:

For the curve (x^2/25) - (y^2/36) = -1, find the equation of the tangent at the given point: (5√3, -12)

I get stuck by the fractions here- any help finding the derivative and solving would be greatly appreciated Thank you!

2. $\frac{x^{2}}{25}-\frac{y^{2}}{36}=-1$

Differentiate:

$\frac{2}{25}x-\frac{1}{18}y\frac{dy}{dx}=0$

Solve for dy/dx:

$\frac{dy}{dx}=\frac{36x}{25y}$

Now, enter in your values and find the slope at that point. Then you can use

y=mx+b.