00:01
Here in this question it is given that f x is equals to negative 5 sine x which is divided by negative 3 cause x negative 3.
00:24
So here we need to find f dash x.
00:32
So here for evaluating it, consider the given function fx that was.
00:44
Will be equals to negative 5, sine x, that is divided by negative 3, cause x, negative 3.
00:59
Now note that further, fx will be equals to, we can take negative sign common from the denominator, so here we have negative 5 sine x which is divided by negative.
01:14
Here we have 3 cos x plus 3.
01:19
So here we can see that from negative, negative sign will get cancelled out.
01:23
Now we have fx as 5 sinex divided by 3 cos x plus.
01:44
So now for evaluating f dash x, we will apply the quotient rule.
01:51
So here we have f dash x that will be equals to.
01:56
So now here we'll take the derivative of the numerator.
02:05
Here we have 5.
02:06
Here we have cos x...