00:02
To differentiate this function, 4 minus 2x minus x to the negative 3, we will use the power rule of differentiation that states that if you have a function y equals x to the power n, the derivative y prime becomes n times x to the n minus 1.
00:22
So you essentially bring down the power of x and subtract 1 from the power of x, right? okay, differentiate this function.
00:33
We can treat, so we'll try to write every term with some power of x.
00:39
So i can write 4 as 4 times x to the 0, just to be very clear.
00:44
2 times x to the 1 and x to the minus 3.
00:49
Now i'll start applying the power rule.
00:53
So if you bring down the power of x in this case, this becomes 4 times 0 times x to the and then subtract 1 from the power of x.
01:01
So 0 minus 1 is negative 1.
01:05
Move on.
01:06
So the derivative of 2x to the 1th power is 2 times...