Derivative Calculator

About the Derivative Calculator

The Derivative Calculator computes the derivative \\( f'(x) \\) of a function \\( f(x) \\) using symbolic differentiation. It supports functions like \\( x^2 \\), \\( \sin(x) \\), or \\( e^x \\). This tool is ideal for calculus students, teachers, and professionals.

• Features:
  • Computes the derivative \\( f'(x) \\) of the input function (e.g., \\( f(x) = x^2 \rightarrow f'(x) = 2x \\)).
  • Supports polynomials, trigonometric functions (sin, cos), exponentials (e^x), and logarithms (ln).
  • Displays results in LaTeX format for clarity.
  • Keypad for easy input with digits, variable (\\( x \\)), operators (+, -, *, /, ^), and functions (sin, cos, ln, e^).
  • Clear and backspace functionality, with a “Copy” button for results.
• Practical Applications: Useful in calculus, physics, and engineering for finding rates of change, slopes, and optimization.
• How to Use
  • Enter a function (e.g., \\( x^2 \\), \\( \sin(x) \\), \\( e^x \\)).
  • Use the keypad to insert digits, variable (\\( x \\)), operators, and functions (sin, cos, ln, e^).
  • Click “Calc” to compute the derivative and view the result, then use “Copy” to copy the result.
  • Use “Clear” to reset, or “⌫” to delete the last character.
  • Share the calculator using the action buttons.
• Helpful Tips
  • Ensure the function is differentiable (e.g., avoid undefined operations like division by zero).
  • Use * for multiplication and / for division in complex expressions (e.g., \\( 2*x \\), not \\( 2x \\)).
  • Use parentheses for function arguments (e.g., \\( \sin(x) \\), not \\( \sin x \\)).
• Examples
  • Example 1: Polynomial: \\( x^2 \\)
    • Input: \\( x^2 \\)
    • Result: Derivative \\( f'(x) = 2x \\).
  • Example 2: Trigonometric: \\( \sin(x) \\)
    • Input: \\( \sin(x) \\)
    • Result: Derivative \\( f'(x) = \cos(x) \\).
  • Example 3: Exponential: \\( e^x \\)
    • Input: \\( e^x \\)
    • Result: Derivative \\( f'(x) = e^x \\).
  • Example 4: Logarithmic: \\( \ln(x) \\)
    • Input: \\( \ln(x) \\)
    • Result: Derivative \\( f'(x) = \frac{1}{x} \\).

Compute derivatives with ease using this Derivative Calculator.