00:01
This question will given the cost function cx equal to square root of the 900 minus 800 times 1 .1 power minus x.
00:13
Let's change you to try this one is exponential form should be 900 minus 800 times the 1 .1 power minus x, 30 power of a half here.
00:27
So then the question asked you to find the marginal cost.
00:30
It means then we have to find the c prime of the x here.
00:34
By formula, first we need to apply the power rule here.
00:38
So we bring it to the front, therefore we get a half, and now we have the 900 minus 800, and then times 1 .1 power minus x, and now totally power of minus a half, times the derivative of the inside here.
00:55
So the derivative of the 900 equals to 0, and the derivative of this one will be minus a half, 800 times 1 .1 power of minus x and times l and the 1 .1 and the derivative of the minus x equal to minus 1 therefore we have a plus in front here.
01:16
So the question asked us to find the c prime of 0.
01:23
So we put the zoe inside here and inside here.
01:28
So if we put the zero inside there, then we get exactly equal to a 0.
01:32
A half, 900 minus this one will equal to 1 now...