- #1
ttpp1124
- 110
- 4
- Homework Statement
- can someone see if my work is correct?
- Relevant Equations
- n/a
Differentiate, but do not simplify: f(x)=sin(cos(x^2))
- Thread starter ttpp1124
- Start date
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- Tags
- Differentiate Simplify
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SUMMARY
The discussion centers on the mathematical function f(x) = sin(cos(x^2)). A user seeks validation for their work related to this function. The consensus confirms the correctness of their calculations, with a reference to the Desmos graphing calculator for visual verification. This highlights the importance of using graphing tools to analyze complex functions accurately.
PREREQUISITES- Understanding of trigonometric functions, specifically sine and cosine.
- Familiarity with function composition and transformations.
- Basic knowledge of calculus, particularly differentiation techniques.
- Experience with graphing tools like Desmos for visual analysis.
- Explore the differentiation of composite functions using the Chain Rule.
- Learn how to graph complex functions using Desmos effectively.
- Investigate the properties of trigonometric functions and their transformations.
- Study the implications of function behavior at critical points and inflection points.
Students studying calculus, mathematics educators, and anyone interested in understanding the behavior of composite trigonometric functions.
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