Derivative of x^14 + x^13

Answer

14⋅x13+13⋅x1214 \cdot x^{13}+13 \cdot x^{12}
13*x^12+14*x^13

Derivative of x^14 + x^13

Rule Used
Sum Rule
Steps
  1. Differentiate x14x^14+x13x^13 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: 13⋅x1213 \cdot x^12+14⋅x1314 \cdot x^13

The derivative of x^14 + x^13 is 13*x^12+14*x^13.

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Derivative of x^14 + x^13 = 13*x^12+14*x^13 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-14-minus-minus-plus-minus-minus-x-minus-to-minus-the-minus-13

How to find the derivative of x^14 + x^13

To find the derivative of x^14 + x^13, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.

Frequently Asked Questions

What is the derivative of x^14 + x^13?▼
The derivative of x^14 + x^13 is 13*x^12+14*x^13.
How do you find the derivative of x^14 + x^13?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is 13*x^12+14*x^13.
Why is the derivative of x^14 + x^13 equal to 13*x^12+14*x^13?▼
Because differentiation measures how a function changes — applying the rules to x^14 + x^13 yields 13*x^12+14*x^13. See the full step-by-step breakdown above.