Answer:

Step-by-step explanation:
In the attachment!
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 <em>y</em> is denoted <em>y' </em>)




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 <em>e</em>, 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 <em>x</em> :





D. Set a percentage of your earnings out of each paycheck
Answer:

Step-by-step explanation:
we know that
The equation of the line in slope-intercept form is equal to

where
m is the slope of the line
b is the N-intercept
In this problem we have

Find the slope
Let


substitute the values
