Derivative of x^19
Answer
19*x^18
Derivative of x^19
- Rule Used
- Power Rule
- Steps
- Apply the power rule: () = . The exponent counts how many factors of x are multiplied, so one factor is lost and the count moves in front.
- Simplify the exponent:
- Final answer:
The derivative of x^19 is 19*x^18.
Instant step-by-step solution for x^19
Share this result
Derivative of x^19 = 19*x^18 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-19
How to find the derivative of x^19
To find the derivative of x^19, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
Derivative of Abs(x)
Solve d/dx Abs(x)
Derivative of acos(x)
Solve d/dx acos(x)
Derivative of asin(x)
Solve d/dx asin(x)
Derivative of atan(x)
Solve d/dx atan(x)
Derivative of x^(1/3)
Solve d/dx x^(1/3)
Derivative of cos(2x)
Solve d/dx cos(2x)
Derivative of cos(x)^2
Solve d/dx cos(x)^2
Derivative of cos(x)
Solve d/dx cos(x)
Derivative of cosh(x)
Solve d/dx cosh(x)
Derivative of cot(x)
Solve d/dx cot(x)
Frequently Asked Questions
What is the derivative of x^19?▼
The derivative of x^19 is 19*x^18.
How do you find the derivative of x^19?▼
Apply the standard differentiation rules — the key rule used here is the Power Rule. The step-by-step result is 19*x^18.
Why is the derivative of x^19 equal to 19*x^18?▼
Because differentiation measures how a function changes — applying the rules to x^19 yields 19*x^18. See the full step-by-step breakdown above.