Derivada de (5x-4)^5
Answer
25*(-4+5*x)^4
Derivative of (5x-4)^5
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in (-4)^5: 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: 25*(-4+)^4
A derivada de (5*x-4)^5 é 25*(-4+5*x)^4.
Solução passo a passo instantânea para (5x-4)^5
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Derivative of (5x-4)^5 = 25*(-4+5*x)^4 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-5x-minus-4-minus-to-minus-the-minus-5
Como encontrar a derivada de (5x-4)^5
Para encontrar a derivada de (5x-4)^5, 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 (5x-4)^5?▼
The derivative of (5x-4)^5 is 25*(-4+5*x)^4.
How do you find the derivative of (5x-4)^5?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 25*(-4+5*x)^4.
Why is the derivative of (5x-4)^5 equal to 25*(-4+5*x)^4?▼
Because differentiation measures how a function changes — applying the rules to (5x-4)^5 yields 25*(-4+5*x)^4. See the full step-by-step breakdown above.