When working with derivatives and integrals, you can enter polynomial equations in several formats:
Basic Format
Use 'x' as the variable:
x^2 for x²
x^3 + 2*x + 1 for x³ + 2x + 1
3*x^2 - 5*x + 2 for 3x² - 5x + 2
Derivatives
Examples:
• "derivative of x^2" → Returns 2*x
• "d/dx (x^3 + 2*x + 1)" → Returns 3*x^2 + 2
• "derive x^4 - 3*x^2" → Returns 4*x^3 - 6*x
Integrals
Indefinite Integrals:
• "integral of x^2" → Returns x^3/3 + C
• "integrate x^2 + 2*x" → Returns x^3/3 + x^2 + C
Definite Integrals:
• "integrate x^2 from 0 to 5" → Returns numerical result
• "integral of x^3 from 1 to 4" → Returns numerical result
Tips
- Use
^ for exponents (e.g., x^2)
- Use
* for multiplication (e.g., 2*x)
- Use
+ and - for addition and subtraction
- For definite integrals, use "from [lower] to [upper]" format
- The system remembers previous calculations in this conversation