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The function provided is \( p(x) = 5 (\sin x)^{\sec x} \). To find more about this function, let's explore possible tasks like differentiation, evaluation, or other analyses. 

Would you like to differentiate this function or explore its properties in another way?

Here are 5 related questions you may want to consider:

1. Would you like to differentiate \( p(x) \)?
2. How does the behavior of \( p(x) \) change for specific values of \( x \)?
3. What are the domain and range of the function \( p(x) \)?
4. How does the exponent \( \sec x \) affect the overall behavior of \( p(x) \)?
5. Would you like to explore critical points or inflection points of \( p(x) \)?

**Tip:** To differentiate a function with a variable exponent, logarithmic differentiation can be very useful.

Learn how to differentiate the function p(x) = 5(sin x)^{sec x} using logarithmic differentiation and chain rule. This solution covers the behavior of trigonometric functions raised to variable exponents. Suitable for advanced high school or undergraduate calculus students.

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