Derivada de cos(x^5)
Answer
-5*sin(x^5)*x^4
Derivative of cos(x^5)
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in : use the chain rule = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
- Differentiate the outer function, then multiply by the inner derivative.
- Final answer: -in()*
La derivada de cos(x^5) es -5*sin(x^5)*x^4.
Solución paso a paso instantánea para cos(x^5)
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Derivative of cos(x^5) = -5*sin(x^5)*x^4 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-cosx-minus-to-minus-the-minus-5
Cómo encontrar la derivada de cos(x^5)
Para encontrar la derivada de cos(x^5), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
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Frequently Asked Questions
What is the derivative of cos(x^5)?▼
The derivative of cos(x^5) is -5*sin(x^5)*x^4.
How do you find the derivative of cos(x^5)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is -5*sin(x^5)*x^4.
Why is the derivative of cos(x^5) equal to -5*sin(x^5)*x^4?▼
Because differentiation measures how a function changes — applying the rules to cos(x^5) yields -5*sin(x^5)*x^4. See the full step-by-step breakdown above.