Derivative of 3/x
Answer
-3*x^(-2)
Derivative of 3/x
- Rule Used
- Quotient Rule
- Steps
- Identify a quotient in 3/x: use the quotient rule (u/v)' = (u'v − uv')/v². The minus sign belongs to the derivative of the denominator; swapping it is the usual error.
- Differentiate numerator and denominator, then combine.
- Final answer: -
The derivative of 3/x is -3*x^(-2).
Instant step-by-step solution for 3/x
Share this result
Derivative of 3/x = -3*x^(-2) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-3-minus-over-minus-x
How to find the derivative of 3/x
To find the derivative of 3/x, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
Practice More Problems
Derivative of e^(2x)
Solve d/dx e^(2x)
Derivative of e^(-x)
Solve d/dx e^(-x)
Derivative of e^x
Solve d/dx e^x
Derivative of ln(2x)
Solve d/dx ln(2x)
Derivative of ln(x)
Solve d/dx ln(x)
Derivative of -x
Solve d/dx -x
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
Frequently Asked Questions
What is the derivative of 3/x?▼
The derivative of 3/x is -3*x^(-2).
How do you find the derivative of 3/x?▼
Apply the standard differentiation rules — the key rule used here is the Quotient Rule. The step-by-step result is -3*x^(-2).
Why is the derivative of 3/x equal to -3*x^(-2)?▼
Because differentiation measures how a function changes — applying the rules to 3/x yields -3*x^(-2). See the full step-by-step breakdown above.