Derivative of 19*x^19
Answer
361*x^18
Derivative of 19*x^19
- Rule Used
- Constant Multiple Rule
- Steps
- is a constant times a function of x. The constant is a fixed stretch of the slope, so it factors out and the remaining function is differentiated.
- Final answer:
The derivative of 19*x^19 is 361*x^18.
Instant step-by-step solution for 19*x^19
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Derivative of 19*x^19 = 361*x^18 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-19x-minus-to-minus-the-minus-19
How to find the derivative of 19*x^19
To find the derivative of 19*x^19, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
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Frequently Asked Questions
What is the derivative of 19*x^19?▼
The derivative of 19*x^19 is 361*x^18.
How do you find the derivative of 19*x^19?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 361*x^18.
Why is the derivative of 19*x^19 equal to 361*x^18?▼
Because differentiation measures how a function changes — applying the rules to 19*x^19 yields 361*x^18. See the full step-by-step breakdown above.