https://file.aiquickdraw.com/mathbot/file/1729001305082qzi15dqc.jpg

The given function is:

\[
p(x) = 5 \left( \sin x \right)^{\cot x}
\]

Would you like to differentiate this function, simplify it, or analyze it in some other way? Let me know how you'd like to proceed!

### 5 Relative Questions:
1. Would you like to find the derivative of \( p(x) \)?
2. Are you interested in finding the critical points of \( p(x) \)?
3. Do you need to analyze the behavior of the function as \( x \to 0 \) or \( x \to \infty \)?
4. Should we explore the domain and range of the function \( p(x) \)?
5. Would you like to graph \( p(x) \) for a specific interval?

**Tip:** When differentiating functions with exponents involving variables, using logarithmic differentiation can often simplify the process.

Explore the differentiation of the function p(x) = 5(sin x)^(cot x). This problem combines trigonometry, logarithmic differentiation, and exponential functions. Learn step-by-step how to handle variables in both the base and the exponent, ideal for Calculus students in Grades 11-12.

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