Derivative of x^13 + x^12

Answer

13⋅x12+12⋅x1113 \cdot x^{12}+12 \cdot x^{11}
12*x^11+13*x^12

Derivative of x^13 + x^12

Rule Used
Sum Rule
Steps
  1. Differentiate x13x^13+x12x^12 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: 12⋅x1112 \cdot x^11+13⋅x1213 \cdot x^12

The derivative of x^13 + x^12 is 12*x^11+13*x^12.

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Derivative of x^13 + x^12 = 12*x^11+13*x^12 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-13-minus-minus-plus-minus-minus-x-minus-to-minus-the-minus-12

How to find the derivative of x^13 + x^12

To find the derivative of x^13 + x^12, 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^13 + x^12?▼
The derivative of x^13 + x^12 is 12*x^11+13*x^12.
How do you find the derivative of x^13 + x^12?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is 12*x^11+13*x^12.
Why is the derivative of x^13 + x^12 equal to 12*x^11+13*x^12?▼
Because differentiation measures how a function changes — applying the rules to x^13 + x^12 yields 12*x^11+13*x^12. See the full step-by-step breakdown above.