Derivative of x^20 + x^19

Answer

20⋅x19+19⋅x1820 \cdot x^{19}+19 \cdot x^{18}
19*x^18+20*x^19

Derivative of x^20 + x^19

Rule Used
Sum Rule
Steps
  1. Differentiate x20x^20+x19x^19 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: 19⋅x1819 \cdot x^18+20⋅x1920 \cdot x^19

The derivative of x^20 + x^19 is 19*x^18+20*x^19.

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Derivative of x^20 + x^19 = 19*x^18+20*x^19 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-20-minus-minus-plus-minus-minus-x-minus-to-minus-the-minus-19

How to find the derivative of x^20 + x^19

To find the derivative of x^20 + x^19, 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^20 + x^19?▼
The derivative of x^20 + x^19 is 19*x^18+20*x^19.
How do you find the derivative of x^20 + x^19?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is 19*x^18+20*x^19.
Why is the derivative of x^20 + x^19 equal to 19*x^18+20*x^19?▼
Because differentiation measures how a function changes — applying the rules to x^20 + x^19 yields 19*x^18+20*x^19. See the full step-by-step breakdown above.