Derivada de cos(x^5)
Answer
-5*sin(x^5)*x^4
Derivative of cos(x^5)
- 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: -in()*
A derivada de cos(x^5) é -5*sin(x^5)*x^4.
Solução passo a passo instantânea para cos(x^5)
Share this result
Derivative of cos(x^5) = -5*sin(x^5)*x^4 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-cosx-minus-to-minus-the-minus-5
Como encontrar a derivada de cos(x^5)
Para encontrar a derivada de cos(x^5), usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.
Praticar Mais Problemas
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)
Derivada de ln(x)
Resolver d/dx ln(x)
Derivada de -x
Resolver d/dx -x
Derivada de x^(1/2)
Resolver d/dx x^(1/2)
Derivada de sqrt(x)
Resolver d/dx sqrt(x)
Derivada de x^3
Resolver d/dx x^3
Frequently Asked Questions
What is the derivative of cos(x^5)?▼
The derivative of cos(x^5) is -5*sin(x^5)*x^4.
How do you find the derivative of cos(x^5)?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is -5*sin(x^5)*x^4.
Why is the derivative of cos(x^5) equal to -5*sin(x^5)*x^4?▼
Because differentiation measures how a function changes — applying the rules to cos(x^5) yields -5*sin(x^5)*x^4. See the full step-by-step breakdown above.