Derivada de tan(8x)
Answer
8*sec(8*x)^2
Derivative of tan(8x)
- 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(8*x) es 8*sec(8*x)^2.
Solución paso a paso instantánea para tan(8x)
Share this result
Derivative of tan(8x) = 8*sec(8*x)^2 Solve step-by-step for free: https://derivativecalculatorai.com/es/derivative-of-tan8x
Cómo encontrar la derivada de tan(8x)
Para encontrar la derivada de tan(8x), usamos reglas de diferenciación estándar. Nuestra calculadora con IA desglosa los pasos y explica la lógica.
Practicar Más Problemas
Derivada de x^2
Resolver d/dx x^2
Derivada de x^2-1
Resolver d/dx x^2-1
Derivada de x^2+1
Resolver d/dx x^2+1
Derivada de x^4
Resolver d/dx x^4
Derivada de cos(2x)
Resolver d/dx cos(2x)
Derivada de cos(x)^2
Resolver d/dx cos(x)^2
Derivada de cos(x)
Resolver d/dx cos(x)
Derivada de cosh(x)
Resolver d/dx cosh(x)
Derivada de cot(x)
Resolver d/dx cot(x)
Derivada de csc(x)
Resolver d/dx csc(x)
Frequently Asked Questions
What is the derivative of tan(8x)?▼
The derivative of tan(8x) is 8*sec(8*x)^2.
How do you find the derivative of tan(8x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 8*sec(8*x)^2.
Why is the derivative of tan(8x) equal to 8*sec(8*x)^2?▼
Because differentiation measures how a function changes — applying the rules to tan(8x) yields 8*sec(8*x)^2. See the full step-by-step breakdown above.