The image you provided contains a list of mathematical functions, likely intended for differentiation exercises. I can assist by finding the derivatives for each function shown.

If you would like, please specify which function(s) you want to differentiate first, or if you need assistance with all of them, and I can proceed accordingly. Here’s a brief overview of some of the functions:

1. $g(t) = t^2 \ln(\sin t)$
2. $h(t) = \ln(1 - 3t)(1 + 3t)$
3. $p(t) = \ln \left( \frac{\cos t - 1}{\cos t + 1} \right)$
4. $y = \frac{e^x - e^{-x}}{e^x + e^{-x}}$ (and others)

Let me know how you would like to proceed!

Do you want a detailed explanation on specific derivatives? Here are five follow-up questions that might interest you:

1. How do you find the derivative of functions involving logarithmic functions?
2. What are some common rules for differentiating trigonometric functions?
3. How do you apply the chain rule to complex nested functions?
4. What methods work best for differentiating hyperbolic functions?
5. How can implicit differentiation be used in more complex scenarios?

Tip: Remember to apply the product rule when differentiating functions with multiple terms that involve multiplication, such as $g(t) = t^2 \ln(\sin t)$.