00:01
The question is, estimate delta y using differentials with the help of equation 3.
00:06
So we're given y equals tangent x squared, where a equals pi over 4, and dx equals negative 0 .02.
00:15
So equation 3 is the linear approximation that tells us delta y is approximately equal to d y.
00:23
So now we want to find d y, which we have the equation for right here.
00:29
So since we're given dx, all we need to do is find f prime at point a.
00:37
So first we will differentiate this equation right here.
00:44
So we can rewrite tangent x squared as tan x squared with the squared on the outside, which makes it a little bit more, a little bit easier to visualize.
01:07
So now we can use the chain rule, or now we can use the power down rule, where we bring the two down, and we have two tangent x to the first...