Gauth

Calculators

Math Calculators with Step by Step Answers

Single-purpose tools for when you know exactly what you need to compute — and want to see how it was done.

Solve a problem now

First solution free
Derivative calculatorDifferentiate any function and see which rule applies at each step. Power, product, quotient, and chain rule working is written out in full.Integral calculatorEvaluate definite and indefinite integrals with the technique shown. Every substitution is written out, and limits are changed when needed.Limit calculatorEvaluate limits, including indeterminate forms. Algebraic simplification and L'Hopital's rule are written out and justified line by line.Quadratic formulaSolve any quadratic and compare factoring, completing the square, and the quadratic formula. The discriminant is explained on the same equation.Equation solverSolve linear, quadratic, rational, and radical equations. Each operation is applied to both sides, with a check for extraneous roots.Factoring calculatorFactor polynomials completely. The pattern is named first, whether common factor, difference of squares, grouping, or trinomial, then applied.Systems solverSolve systems by substitution, elimination, or graphing. See the method written out and learn which one is fastest for your system.Matrix calculatorFind determinants, inverses, products, and row reduction. Every elementary row operation is listed, including when no inverse exists.Inequality calculatorSolve and graph inequalities, including compound and absolute value cases. The sign flip rule is explained where it actually applies.Slope calculatorFind slope, midpoint, and distance from two points. Then build the line in point slope, slope intercept, and standard form.Domain and rangeFind the domain and range of a function. Each restriction is identified in turn: denominators, even roots, logarithms, and the graph.Standard deviationCompute sample and population standard deviation with a full table of deviations and squared deviations, plus which divisor to use.

Calculator or solver?

A calculator is the right choice when you already know the operation and just need it carried out correctly — differentiate this, invert that, factor this polynomial. Each one explains the rule it applied at every step, so it doubles as a check on your own method rather than a black box that hands back a number.

If you are looking at a problem and are not yet sure what it is asking for, a subject solver is the better starting point, because it will identify the problem type before solving it. And if the underlying method is what is missing rather than the arithmetic, the concept guides derive each one from first principles instead of just stating it.

A note on trusting output: these tools are reliable on well-formed input and much less so on ambiguous notation or problems that depend on a diagram. Always sanity-check a result — substituting your answer back into the original equation catches most errors in seconds, and five other verification tricks catch nearly all the rest.

Also useful

Gauth AIAsk me for any help!