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mimitka
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f(x)=20x^3 - 3x^5
f '(x)=60x^2 - 15x^4
f ''(x)=120x-60x^3
Is this correct?
f '(x)=60x^2 - 15x^4
f ''(x)=120x-60x^3
Is this correct?
Find Derivatives of f(x): 60x^2 - 15x^4 & 120x-60x^3
- Thread starter mimitka
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SUMMARY
The derivatives of the function f(x) = 20x^3 - 3x^5 are confirmed as f '(x) = 60x^2 - 15x^4 and f ''(x) = 120x - 60x^3. The calculations are accurate, demonstrating the application of differentiation rules for polynomial functions. This discussion validates the correctness of the derived expressions for both the first and second derivatives.
PREREQUISITES- Understanding of polynomial functions
- Knowledge of differentiation rules
- Familiarity with first and second derivatives
- Basic algebra skills
- Study the Power Rule of differentiation
- Learn about higher-order derivatives
- Explore applications of derivatives in optimization problems
- Review polynomial function behavior and graphing techniques
Students in calculus, mathematics educators, and anyone seeking to enhance their understanding of derivatives and polynomial functions.
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