Math Problem Statement
Defreantiation of combosit function cos5x
Solution
To differentiate the composite function , we again apply the chain rule.
Given , where , the chain rule tells us:
For the given function, , so:
Thus, the derivative of is:
So, the derivative of is .
Would you like more details or have any questions about this? Here are some related questions you might find interesting:
- How do you differentiate ?
- What is the derivative of ?
- How do you apply the chain rule to functions like ?
- What is the derivative of ?
- How does the product rule work when combined with trigonometric functions?
- What is the second derivative of ?
- Can you derive the derivative using trigonometric identities?
- How would you differentiate ?
Tip: When using the chain rule, always differentiate the outer function first and then multiply by the derivative of the inner function.
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Math Problem Analysis
Mathematical Concepts
Differentiation
Chain Rule
Trigonometric Functions
Formulas
Chain rule for differentiation
Theorems
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Suitable Grade Level
Advanced High School