Derivative of x^11 + x^10

Answer

11⋅x10+10⋅x911 \cdot x^{10}+10 \cdot x^{9}
10*x^9+11*x^10

Derivative of x^11 + x^10

Rule Used
Sum Rule
Steps
  1. Differentiate x11x^11+x10x^10 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: 10⋅x910 \cdot x^9+11⋅x1011 \cdot x^10

The derivative of x^11 + x^10 is 10*x^9+11*x^10.

Instant step-by-step solution for x^11 + x^10

Share this result
Share on X

Derivative of x^11 + x^10 = 10*x^9+11*x^10 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-11-minus-minus-plus-minus-minus-x-minus-to-minus-the-minus-10

How to find the derivative of x^11 + x^10

To find the derivative of x^11 + x^10, 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^11 + x^10?▼
The derivative of x^11 + x^10 is 10*x^9+11*x^10.
How do you find the derivative of x^11 + x^10?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is 10*x^9+11*x^10.
Why is the derivative of x^11 + x^10 equal to 10*x^9+11*x^10?▼
Because differentiation measures how a function changes — applying the rules to x^11 + x^10 yields 10*x^9+11*x^10. See the full step-by-step breakdown above.