Derivada de tan(x)^7
Answer
7*sec(x)^2*tan(x)^6
Derivative of tan(x)^7
- 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)^6
A derivada de tan(x)^7 é 7*sec(x)^2*tan(x)^6.
Solução passo a passo instantânea para tan(x)^7
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Derivative of tan(x)^7 = 7*sec(x)^2*tan(x)^6 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-tanx-minus-to-minus-the-minus-7
Como encontrar a derivada de tan(x)^7
Para encontrar a derivada de tan(x)^7, 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(x)^7?▼
The derivative of tan(x)^7 is 7*sec(x)^2*tan(x)^6.
How do you find the derivative of tan(x)^7?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 7*sec(x)^2*tan(x)^6.
Why is the derivative of tan(x)^7 equal to 7*sec(x)^2*tan(x)^6?▼
Because differentiation measures how a function changes — applying the rules to tan(x)^7 yields 7*sec(x)^2*tan(x)^6. See the full step-by-step breakdown above.