Derivada de tan(10*x)
Answer
10*sec(10*x)^2
Derivative of tan(10*x)
- 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()^2
La derivada de tan(10*x) es 10*sec(10*x)^2.
Solución paso a paso instantánea para tan(10*x)
Share this result
Derivative of tan(10*x) = 10*sec(10*x)^2 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-tan10x
Cómo encontrar la derivada de tan(10*x)
Para encontrar la derivada de tan(10*x), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
Practicar Más Problemas
Derivada de 5x
Resolver d/dx 5x
Derivada de Abs(x)
Resolver d/dx Abs(x)
Derivada de acos(x)
Resolver d/dx acos(x)
Derivada de asin(x)
Resolver d/dx asin(x)
Derivada de atan(x)
Resolver d/dx atan(x)
Derivada de x^(1/3)
Resolver d/dx x^(1/3)
Derivada de e^(2x)
Resolver d/dx e^(2x)
Derivada de e^(-x)
Resolver d/dx e^(-x)
Derivada de e^x
Resolver d/dx e^x
Derivada de ln(2x)
Resolver d/dx ln(2x)
Frequently Asked Questions
What is the derivative of tan(10*x)?▼
The derivative of tan(10*x) is 10*sec(10*x)^2.
How do you find the derivative of tan(10*x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 10*sec(10*x)^2.
Why is the derivative of tan(10*x) equal to 10*sec(10*x)^2?▼
Because differentiation measures how a function changes — applying the rules to tan(10*x) yields 10*sec(10*x)^2. See the full step-by-step breakdown above.