Accuracy Notice: This calculator provides Exact results for basic derivatives, High Precision numerical values, and Approximate results for limits and series.
Computation Accuracy Levels
Exact
Symbolic derivatives of polynomials, rational functions, and basic trig. Mathematically proven results.
High Precision
Numerical evaluation using 20-100 digit arbitrary-precision arithmetic. Rounding errors minimized.
Approximate
Symbolic integration when closed form exists. May miss complex cases requiring special functions.
Numerical Only
Limits and series use numerical convergence tests. Not formal mathematical proofs. May fail for oscillatory functions.
Limitations: JavaScript-based CAS cannot handle all mathematical edge cases. For critical applications, verify results with WolframAlpha, SymPy, or manual calculation.
Algebrite CAS
Live Preview
Exact Symbolic Mode
Exact
Enter a function...
Limit detection is numerical, not symbolic. May fail for oscillatory functions (e.g., sin(1/x) as x→0).
Result
Symbolic Exact
Exact
Accuracy Warning
Symbolic Result
Numerical Value
High Precision
LaTeX Representation
Function Visualization
Chart uses sampled points and may miss discontinuities or rapid oscillations
Step-by-Step Solution
Accuracy Guide
Exact
Proven correct for standard forms
High Precision
20-100 digit arithmetic
Approximate
Symbolic where possible
Numerical
Convergence-based estimation
Note: JavaScript CAS libraries have inherent limitations. Always verify critical results with established mathematical software.
Quick Reference
Power Rule
d/dx(x^n) = n·x^(n-1)
Product Rule
(fg)' = f'g + fg'
Chain Rule
d/dx f(g(x))
∫ x^n dx
x^(n+1)/(n+1) + C
∫ e^x dx
e^x + C
History
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