Calculus Calculator - Derivatives, Integrals & Limits
How It Works
Select Operation
Choose derivative, integral, or limit
Enter Function
Input mathematical function
Common Examples
Derivatives
Integrals
Limits
Calculus Calculator
What
Advanced calculus calculator for derivatives, integrals, and limits with step-by-step solutions.
Why
Essential for calculus students, engineers, and researchers needing accurate mathematical computations.
Applications
Calculus homework, physics problems, engineering analysis, and mathematical research.
Calculation Table
| Function | Derivative | Integral | Application |
|---|---|---|---|
| x² | 2x | x³/3 + C | Parabolic motion |
| sin(x) | cos(x) | -cos(x) + C | Wave analysis |
| e^x | e^x | e^x + C | Exponential growth |
| ln(x) | 1/x | x·ln(x) - x + C | Logarithmic functions |
Frequently Asked Questions
What calculus operations can this calculator perform?
This calculator can compute derivatives, integrals, and limits of mathematical functions with step-by-step solutions.
How do I enter functions?
Enter functions using standard notation: x^2 for x², sin(x) for sine, e^x for exponential, ln(x) for natural log.
What derivative rules does it use?
The calculator applies power rule, product rule, quotient rule, chain rule, and derivatives of trigonometric and exponential functions.
Can it solve definite integrals?
Currently it computes indefinite integrals. For definite integrals, use the result and apply the fundamental theorem of calculus.
How accurate are the limit calculations?
The calculator handles basic polynomial limits. For complex limits involving indeterminate forms, L'Hôpital's rule may be needed.
Is this suitable for calculus students?
Yes! Perfect for Calculus I and II students to check homework, understand concepts, and verify manual calculations.
Does it show step-by-step solutions?
Yes, the calculator provides detailed steps showing how the derivative, integral, or limit is computed using standard calculus rules.