Derivative of 16*x^16
Answer
256*x^15
Derivative of 16*x^16
- 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 16*x^16 is 256*x^15.
Instant step-by-step solution for 16*x^16
Share this result
Derivative of 16*x^16 = 256*x^15 Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-16x-minus-to-minus-the-minus-16
How to find the derivative of 16*x^16
To find the derivative of 16*x^16, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
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)
Derivative of x^3
Solve d/dx x^3
Derivative of x*e^x
Solve d/dx x*e^x
Frequently Asked Questions
What is the derivative of 16*x^16?▼
The derivative of 16*x^16 is 256*x^15.
How do you find the derivative of 16*x^16?▼
Apply the standard differentiation rules — the key rule used here is the Constant Multiple Rule. The step-by-step result is 256*x^15.
Why is the derivative of 16*x^16 equal to 256*x^15?▼
Because differentiation measures how a function changes — applying the rules to 16*x^16 yields 256*x^15. See the full step-by-step breakdown above.