Pleeease open the image and help me

1. Rewrite the expression in terms of logarithms:

Then differentiate with the chain rule (I'll use prime notation to save space; that is, the derivative of y is denoted y' )

2. Chain rule:

Since , we can cancel one factor of sine:

3. Chain rule:

4. If you're like me and don't remember the rule for differentiating logarithms of bases not equal to e, you can use the change-of-base formula first:

Then

So we have

and we can use the double angle identity and logarithm properties to condense this result:

5. Differentiate both sides:

6. Same as with (5):

7. Looks like

Compute the second derivative:

Set this equal to 0 and solve for x :

answer: for each 3 girls there is 2 boys . 3: 2

hope this ! (:   mark me as brainliest if you can