Derivative Calculator
Enter any mathematical function to compute its derivative symbolically with respect to your chosen variable.
What this calculator is doing
This tool performs symbolic differentiation of mathematical expressions. It supports:
- Polynomial functions (e.g., \(x^3 + 2x\))
- Trigonometric functions (e.g., \(\sin(x)\), \(\tan(x)\))
- Exponentials and logarithms (e.g., \(e^x\), \(\ln(x)\))
- Chain, product, and quotient rules
- Custom variables (e.g., \(f(y) = \cos(y^2)\))
The symbolic derivative is shown in clean LaTeX format for readability.
Example:
If input is:
\[
f(x) = x^2 \cdot \sin(x)
\]
Then output will be:
\[
f'(x) = 2x \cdot \sin(x) + x^2 \cdot \cos(x)
\]
Disclaimer: These calculators are provided for informational purposes only. Always verify your designs against relevant engineering standards and consult a qualified professional. We do not take responsibility for any errors or damages resulting from the use of these calculations.