00:01
In this question, we are asked to find the equation of the tangent line to the given curve at the given point.
00:07
And to do that, we need to differentiate the whole equation with respect to x.
00:11
And we need to differentiate it implicitly, meaning that whenever we differentiate x, we differentiate it as usual.
00:20
And when differentiating y, we need to multiply it by dy over dx.
00:25
So the derivative of x squared equals to 2x and the derivative of y squared equals to 2y.
00:31
But since we are differentiating y, we need to multiply it by dy over dx, because y depends on x.
00:40
And on the right -hand side, we will get 0.
00:43
Then, if we solve this for d -y or d -x, we will get that d -y over d -x equals to negative x divided by y...