Derivada de tan(15*x)
Answer
15*sec(15*x)^2
Derivative of tan(15*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
A derivada de tan(15*x) é 15*sec(15*x)^2.
Solução passo a passo instantânea para tan(15*x)
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Derivative of tan(15*x) = 15*sec(15*x)^2 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-tan15x
Como encontrar a derivada de tan(15*x)
Para encontrar a derivada de tan(15*x), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
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Frequently Asked Questions
What is the derivative of tan(15*x)?▼
The derivative of tan(15*x) is 15*sec(15*x)^2.
How do you find the derivative of tan(15*x)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 15*sec(15*x)^2.
Why is the derivative of tan(15*x) equal to 15*sec(15*x)^2?▼
Because differentiation measures how a function changes — applying the rules to tan(15*x) yields 15*sec(15*x)^2. See the full step-by-step breakdown above.