Optimization Calculator

Find local maxima and minima of a single-variable function using its derivative.

Notes:

Steps for single-variable optimization:
1. Compute f'(x).
2. Solve f'(x) = 0 for critical points.
3. Use f''(x) to classify:
   - f''(x) > 0 → local minimum
   - f''(x) < 0 → local maximum
4. Evaluate f(x) at endpoints (if applicable) for global extrema.

Enter functions in standard math notation. This calculator supports polynomials, trig, exponential, and logarithmic functions.