Question

Find the equation of the tangent line to the curve (hyperbola)
x^2/16−y^2/4=1
at the point (7287228132326901).

a. Find dydx at x=7.

Answer 1

take the derivative wrt x to get
\[\frac{x}{8}-\frac{y}{2}y'=0\] then solve for y' or substitute then numbers you know

Answer 2

thanks