Derivative of x^10 - x
Answer
-1+10*x^9
Derivative of x^10 - x
- Rule Used
- Sum Rule
- Steps
- Differentiate -x 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.
- Final answer: -1+
The derivative of x^10 - x is -1+10*x^9.
Instant step-by-step solution for x^10 - x
Share this result
Derivative of x^10 - x = -1+10*x^9 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-x-minus-to-minus-the-minus-10-minus-minus-minus-x
How to find the derivative of x^10 - x
To find the derivative of x^10 - x, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
Derivative of sec(x)
Solve d/dx sec(x)
Derivative of sin(2x)
Solve d/dx sin(2x)
Derivative of sin(x)^2
Solve d/dx sin(x)^2
Derivative of sin(x)
Solve d/dx sin(x)
Derivative of sinh(x)
Solve d/dx sinh(x)
Derivative of sqrt(x)
Solve d/dx sqrt(x)
Derivative of tan(x)^2
Solve d/dx tan(x)^2
Derivative of tan(x)
Solve d/dx tan(x)
Derivative of tanh(x)
Solve d/dx tanh(x)
Derivative of x*cos(x)
Solve d/dx x*cos(x)
Frequently Asked Questions
What is the derivative of x^10 - x?▼
The derivative of x^10 - x is -1+10*x^9.
How do you find the derivative of x^10 - x?▼
Apply the standard differentiation rules — the key rule used here is the Sum Rule. The step-by-step result is -1+10*x^9.
Why is the derivative of x^10 - x equal to -1+10*x^9?▼
Because differentiation measures how a function changes — applying the rules to x^10 - x yields -1+10*x^9. See the full step-by-step breakdown above.