Derivada de x^16 + x^15

Answer

16⋅x15+15⋅x1416 \cdot x^{15}+15 \cdot x^{14}
15*x^14+16*x^15

Derivative of x^16 + x^15

Rule Used
Sum Rule
Steps
  1. Differentiate x16x^16+x15x^15 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: 15⋅x1415 \cdot x^14+16⋅x1516 \cdot x^15

A derivada de x^16 + x^15 é 15*x^14+16*x^15.

Solução passo a passo instantânea para x^16 + x^15

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Derivative of x^16 + x^15 = 15*x^14+16*x^15 Solve step-by-step for free: https://derivativecalculatorai.com/pt/derivative-of-x-minus-to-minus-the-minus-16-minus-minus-plus-minus-minus-x-minus-to-minus-the-minus-15

Como encontrar a derivada de x^16 + x^15

Para encontrar a derivada de x^16 + x^15, 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^16 + x^15?▼
The derivative of x^16 + x^15 is 15*x^14+16*x^15.
How do you find the derivative of x^16 + x^15?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is 15*x^14+16*x^15.
Why is the derivative of x^16 + x^15 equal to 15*x^14+16*x^15?▼
Because differentiation measures how a function changes — applying the rules to x^16 + x^15 yields 15*x^14+16*x^15. See the full step-by-step breakdown above.