Derivada de x^4-x^3

Answer

4⋅x3−3⋅x24 \cdot x^{3}-3 \cdot x^{2}
-3*x^2+4*x^3

Derivative of x^4-x^3

Rule Used
Sum Rule
Steps
  1. Differentiate x4x^4-x3x^3 term by term. The sum rule says the derivative of a sum is the sum of the derivatives, and the derivative of a constant term is 0, so that term disappears.
  2. Final answer: -3⋅x23 \cdot x^2+4⋅x34 \cdot x^3

A derivada de x^4-x^3 é -3*x^2+4*x^3.

Solução passo a passo instantânea para x^4-x^3

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Derivative of x^4-x^3 = -3*x^2+4*x^3 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-x-minus-to-minus-the-minus-4-minus-x-minus-to-minus-the-minus-3

Como encontrar a derivada de x^4-x^3

Para encontrar a derivada de x^4-x^3, usamos regras de diferenciação padrão. Nossa calculadora com IA detalha os passos e explica a lógica.

Frequently Asked Questions

What is the derivative of x^4-x^3?▼
The derivative of x^4-x^3 is -3*x^2+4*x^3.
How do you find the derivative of x^4-x^3?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is -3*x^2+4*x^3.
Why is the derivative of x^4-x^3 equal to -3*x^2+4*x^3?▼
Because differentiation measures how a function changes — applying the rules to x^4-x^3 yields -3*x^2+4*x^3. See the full step-by-step breakdown above.