Derivada de x^15 + x^14

Answer

15⋅x14+14⋅x1315 \cdot x^{14}+14 \cdot x^{13}
14*x^13+15*x^14

Derivative of x^15 + x^14

Rule Used
Sum Rule
Steps
  1. Differentiate x15x^15+x14x^14 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: 14⋅x1314 \cdot x^13+15⋅x1415 \cdot x^14

A derivada de x^15 + x^14 é 14*x^13+15*x^14.

Solução passo a passo instantânea para x^15 + x^14

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Derivative of x^15 + x^14 = 14*x^13+15*x^14 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-x-minus-to-minus-the-minus-15-minus-minus-plus-minus-minus-x-minus-to-minus-the-minus-14

Como encontrar a derivada de x^15 + x^14

Para encontrar a derivada de x^15 + x^14, 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^15 + x^14?▼
The derivative of x^15 + x^14 is 14*x^13+15*x^14.
How do you find the derivative of x^15 + x^14?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is 14*x^13+15*x^14.
Why is the derivative of x^15 + x^14 equal to 14*x^13+15*x^14?▼
Because differentiation measures how a function changes — applying the rules to x^15 + x^14 yields 14*x^13+15*x^14. See the full step-by-step breakdown above.