Solve it with the steps on a board
Equations, derivatives, integrals and word problems solved step by step. Every answer is computed and checked, then explained on a whiteboard you can ask the chat to redo.
- Quadratic equationsSolve a x² + b x + c = 0 with factoring, the quadratic formula, the discriminant and the vertex.
- Linear equationsTwo-step equations like 3x + 5 = 20, solved and checked step by step.
- DerivativesDifferentiate products, quotients and chains like x³·sin(x) or sin(x²) with the rule named, every piece shown and the result simplified.
- IntegralsAntiderivatives of powers, trig, exponentials, logs and the classic by-parts and substitution integrals, each checked by differentiating.
- Speed, distance and time problemsA car travels 120 miles in 2 hours: what is its average speed? Worked with speed = distance ÷ time, with the other two forms.
- Discount and sale price problemsA $80 jacket is 25% off: what is the sale price? Worked with the multiplier method and the subtract method.
- Age word problemsA father is 3 times as old as his son and together they are 48: how old is each? Solved with one equation.
- Work-together problemsAnn paints a room in 3 hours, Ben in 6: how long together? Solved with rates that add.
- Taylor and Maclaurin seriesThe Taylor polynomial of eˣ, sin x, cos x, ln(1+x), arctan x, √(1+x) and more up to degree 10, with the error and the radius of convergence.
- Cubic equationsSolve cubics like x³ − 6x² + 11x − 6 = 0 with the rational root theorem, synthetic division and a Vieta check.
- Quartic equationsSolve quartics with integer roots by the rational root theorem and synthetic division, then factor.
- Well-known limitssin x / x, (1 + 1/n)ⁿ, (eˣ − 1)/x, x ln x and about 50 more, each with the method, L'Hôpital steps and a table of values closing in.