00:03
All right, the first thing we want to do is find the slope of the tangent line at this point zero zero.
00:13
And in order to do that, we're going to find the derivative.
00:16
The derivative gives us the slope of the tangent line.
00:22
And we're going to use the quotient rule here, which i like to remember as low, d high, minus high d low over low square, which is low.
00:36
Derivative of the high is which to be one minus high be low it is to be one the derivative of the lower part of this fraction and then low squared is x plus one square when we work this out we get x plus 1 minus x over x plus 1 squared which reduces to 1 over x plus 1 squared that is our derivative and we want to find the slope at the point 0 0 0 so we're going to let x equals 0.
01:15
The derivative to the x0 would be 1 over 0 plus 1 squared, which comes out to be 1 squared, which is give us 1.
01:28
So now they want you to find the equation of the long tangent to the graph.
01:36
You're going to use the points they gave you...