00:01
Alright so in this problem we are given the following function.
00:03
So we are given g to be a function of theta.
00:09
So theta here is our variable and it is equal to cosine squared of theta.
00:14
I'm going to rewrite this as cosine of theta all of these raised to the power of 2 for convenience.
00:22
Next i'm going to use the general power rule to find the derivative.
00:28
So let us write the rule.
00:31
The general power rule for derivatives states the following.
00:39
If you are finding the derivative say in our case with respect to theta of some function of theta.
00:46
So let's call this f of theta to the power of nth.
00:52
In our case we bring the power of nth down as a coefficient.
00:57
We leave f of theta as is and the new power here is going to be n minus 1.
01:04
That is we subtract 1 to the power and we multiply everything by f prime of theta.
01:10
The derivative of the inner function with respect to the variable theta.
01:15
Alright so with this in mind we are going to apply that onto our problem.
01:22
So apply the general power rule to this problem and we are going to get the following...