Derivada de tan(x)^3
Answer
3*sec(x)^2*tan(x)^2
Derivative of tan(x)^3
- 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: ec(x)^an(x)^2
La derivada de tan(x)^3 es 3*sec(x)^2*tan(x)^2.
Solución paso a paso instantánea para tan(x)^3
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Derivative of tan(x)^3 = 3*sec(x)^2*tan(x)^2 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-tanx-minus-to-minus-the-minus-3
Cómo encontrar la derivada de tan(x)^3
Para encontrar la derivada de tan(x)^3, 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 tan(x)^3?▼
The derivative of tan(x)^3 is 3*sec(x)^2*tan(x)^2.
How do you find the derivative of tan(x)^3?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 3*sec(x)^2*tan(x)^2.
Why is the derivative of tan(x)^3 equal to 3*sec(x)^2*tan(x)^2?▼
Because differentiation measures how a function changes — applying the rules to tan(x)^3 yields 3*sec(x)^2*tan(x)^2. See the full step-by-step breakdown above.