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CAS Calculator

CAS Calculator — Symbolic Simplify and Differentiate works out Result and Full-precision result from Expression, Significant figures and Value of x (optional). The default figures on this page give derivative with respect to x of 3 * x^2 + 6 * x - 5; change any entry and the result, the working and the sources update together.

Derivative with respect to x
3 * x^2 + 6 * x - 5
Scientific Calculator
Result
12
Full-precision result
12
Result with separators
12
Scientific notation
1.200000000 x 10^1
Expression as parsed
x^3 + 3 * x^2 - 5 * x + 2
Angle unit
rad
Result read as an angle, in degrees
687.549354
Result read as an angle, in radians
12
Simplified expression
x^3 + 3 * x^2 - 5 * x + 2
Derivative evaluated at x
19
Worked out from NIST Digital Library of Mathematical Functions, Chapter 4 (Elementary Functions) and 4 other sources.

Your figures

Updates as you type
Functions: abs, acos, acosh, asin, asinh, atan, atan2, atanh, cbrt, ceil, cos, cosh, cot, csc, deg, exp, fact, factorial, floor, gcd, hypot, lcm, ln, log, log10, log2, max, mean, min, mod, ncr, npr, pct, pow, rad, rem, root, round, sec, sign, sin, sinh, sqrt, sum, tan, tanh, trunc. Constants: e, phi, pi, tau. Also ! for factorial, ^ for powers, |x| for absolute value.
Applied to the displayed result; the unrounded value is also returned.
Lets the expression use x as a variable, e.g. x^2 + 3x + 2.

How this is worked out

5 steps
  1. Read as: x^3 + 3 × x^2 - 5 × x + 2 with angles in radians.
  2. Simplified: x^3 + 3 * x^2 - 5 * x + 2
  3. d/dx: 3 * x^2 + 6 * x - 5
  4. At x = 2: the derivative is 19.
  5. At x = 2: the expression is 12.
Step-by-step workingtable
Simplified: x^3 + 3 * x^2 - 5 * x + 2, d/dx: 3 * x^2 + 6 * x - 5, At x = 2: the derivative is 19., At x = 2: the expression is 12.

Its 9 worked examples are re-run on every release, last on 15 September 2026. What changed

Sources and references

5 sources
ECMA-262, ECMAScript Language Specification, §21.3 The Math Object
Defines the IEEE-754 double-precision behaviour of the elementary functions used here.
Burden & Faires, Numerical Analysis, §2.1 The Bisection Method
9th edition · The bracketing root-finder used by the solver mode.
Stewart, Calculus: Early Transcendentals, Chapter 3 (Differentiation Rules)
8th edition · The product, quotient, chain and power rules implemented in core/symbolic.ts and used by the CAS mode.

What the CAS Calculator — Symbolic Simplify and Differentiate calculates

Evaluates a scientific expression with trigonometric, inverse and hyperbolic functions, logarithms to any base, roots, powers, factorials and combinatorics, honouring standard operator precedence and an explicit angle unit; also tabulates y = f(x) for graphing, solves f(x) = target for x by bisection, and simplifies and differentiates an expression symbolically.

How to use this CAS Calculator — Symbolic Simplify and Differentiate

Enter Expression, Significant figures and Value of x (optional). Result updates as you type. Change one figure at a time to see what drives the result.

How the result is worked out

Open “How this is worked out” beside the result for the step-by-step calculation behind Result, Full-precision result and Result with separators.

The method follows NIST Digital Library of Mathematical Functions, Chapter 4 (Elementary Functions), Abramowitz & Stegun, Handbook of Mathematical Functions, Chapter 4, ECMA-262, ECMAScript Language Specification, §21.3 The Math Object, Burden & Faires, Numerical Analysis, §2.1 The Bisection Method and Stewart, Calculus: Early Transcendentals, Chapter 3 (Differentiation Rules).

What you can compare

Change one input at a time to see how it affects Result, Full-precision result and Result with separators. The inputs you can vary are Expression, Significant figures and Value of x (optional).

Results are general information, not financial, tax, legal, medical or engineering advice. Check any decision that matters with a qualified professional.

Embed this calculator on your website

Copy this code into any page. The calculator appears with the figures currently entered, sizes itself to fit, and a small credit line links back here. Free, no account, no ads inside it, no tracking of your readers. Set your own figures and fixed fields; Personal removes the credit line, sets your colour and shows you which sites use it.

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Frequently asked questions

What is a CAS on a calculator?

Evaluates a scientific expression with trigonometric, inverse and hyperbolic functions, logarithms to any base, roots, powers, factorials and combinatorics. On this page it is computed from Expression, Significant figures and Value of x (optional) and shown as Result, Full-precision result and Result with separators.

What calculators have a CAS?

It needs Expression, Significant figures and Value of x (optional). Nothing else is required, and the figures stay in your browser.

Why are CAS calculators banned?

Evaluates a scientific expression with trigonometric, inverse and hyperbolic functions, logarithms to any base, roots, powers, factorials and combinatorics. Put your own figures in above and the working updates beside the result. For scale, the default figures on this page give 3 * x^2 + 6 * x - 5.

Is a TI-84 a CAS calculator?

The result gives Result, Full-precision result, Result with separators, Scientific notation, Expression as parsed and Angle unit, each labelled with its unit so the figure can be read on its own.

What information do I need for the CAS Calculator — Symbolic Simplify and Differentiate?

You need Expression, Significant figures and Value of x (optional). The page opens with default figures that give derivative with respect to x of 3 * x^2 + 6 * x - 5, so you can see the scale before entering your own.

What does this CAS Calculator — Symbolic Simplify and Differentiate show?

It shows Result, Full-precision result, Result with separators, Scientific notation, Expression as parsed, Angle unit, Result read as an angle, in degrees and Result read as an angle, in radians, with the working and any warnings for your entries.

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