Derivative of x^14 - x

Answer

14⋅x13−114 \cdot x^{13}-1
-1+14*x^13

Derivative of x^14 - x

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

The derivative of x^14 - x is -1+14*x^13.

Instant step-by-step solution for x^14 - x

Share this result
Share on X

Derivative of x^14 - x = -1+14*x^13 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-14-minus-minus-minus-x

How to find the derivative of x^14 - x

To find the derivative of x^14 - x, 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?▼
The derivative of x^14 - x is -1+14*x^13.
How do you find the derivative of x^14 - x?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is -1+14*x^13.
Why is the derivative of x^14 - x equal to -1+14*x^13?▼
Because differentiation measures how a function changes — applying the rules to x^14 - x yields -1+14*x^13. See the full step-by-step breakdown above.