00:01
We want to find the tangent line to the curve given by the equation, y squared equals x squared over xy minus 4, at the point 42.
00:09
We're going to use implicit differentiation to find the derivative d -ydx for this equation.
00:14
Since the derivative represents the change or the slope at a point on a curve, we can use d -ydx at this point to find the slope, and then we can plug into our standard y equals m -e plus b line formulence, identify our b intercept, and solve for the line.
00:27
So first, let's use implicit differentiation, differentiating both side to describe to x.
00:33
First, i'm going to rewrite this equation as x, y, q, minus 4 y squared, multiplied both sides with a denominator, just to make it simpler...