It seems you have the expression:

\[
e^x - 4 \ln(\cos(x))
\]

Would you like me to differentiate, integrate, or evaluate it at a specific point? Let me know how you want to proceed!

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Here are some possible directions:
1. Do you want the derivative of the expression?
2. Are you interested in finding the integral of this expression?
3. Would you like an explanation of how natural logarithms and exponential functions interact?
4. Are you working with a specific range of \( x \)?
5. Would you like me to simplify this expression further?

**Tip:** Remember that logarithmic functions have restricted domains; for \(\ln(\cos(x))\), \( \cos(x) \) must be positive.

Understand how to differentiate the function e^x − 4ln(cos(x)) using key concepts such as the chain rule, logarithmic differentiation, and trigonometric identities. This advanced calculus problem is ideal for students in Grades 11-12 looking to deepen their understanding of exponential, logarithmic, and trigonometric functions.

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