Precalculus Calculators and Reference Charts

Pre-Calc.com

Quick calculators for precalculus and calculus, with reference notes and worked examples for each topic.

Calculators

Enter values to see the formula and result. For worked examples and fuller reference notes, use the table of contents at left.

Precalculus

Two-Point Line Data

x₁ y₁ x₂ y₂

From two points, finds slope, line equation, distance, and midpoint in one place.

Output

Permutations and Combinations

Total n Chosen r

Use nCr when order does not matter. Use nPr when order matters.

Output

Quadratic Formula

a b c

Uses $ax^2+bx+c=0$ and fills values into the quadratic formula.

Output

Quadratic Vertex Form

a b c

Finds the vertex, axis of symmetry, and vertex form for $y=ax^2+bx+c$.

Output

2x2 Matrix System

a b e

c d f

Solves $ax+by=e$ and $cx+dy=f$ with determinants.

Output

Right Triangle Solver

Adjacent Opposite Hypotenuse Angle θ Angle θ₂

Enter two sides, or one side plus one acute angle.

Output

Circle Equation from Center and Radius

Center h Center k Radius r

Builds the standard circle equation and expands it into general form.

Output

Derivatives

Set k from 1 to 10 to show successive derivatives through order k; k=3 shows f′, f″, and f‴.

Power Rule

Coefficient a Exponent n

Through order k

Differentiate $f(x)=ax^n$. Negative and fractional exponents are allowed.

Successive Derivatives

Chain Rule

Multiplier a Inside slope b Inside constant c

Exponent n

Through order k

Differentiate $f(x)=a(bx+c)^n$.

Successive Derivatives

Product Rule

First slope a First constant b Second slope c

Second constant d

Through order k

Differentiate $f(x)=(ax+b)(cx+d)$.

Successive Derivatives

Quotient Rule

Top slope a Top constant b Bottom slope c

Bottom constant d

Through order k

Differentiate $f(x)=\frac{ax+b}{cx+d}$.

Successive Derivatives