Math

Math#

Math notation#

The equation \(ax^2 + bx + c = 0\) has two solutions in \(\mathbb{C}\):

\[\begin{split} &x_1=\frac{-b-\sqrt{D}}{2a}\quad\textrm{and}\quad x_2=\frac{-b+\sqrt{D}}{2a}\\ \\ &\textrm{with } D=b^2-4ac \end{split}\]

Flex tables#

Function value table#

The flex-table below uses the class function-table to render the value table of \(f(x)=2x+1\).

\(x\) \(0\) \(1\) \(2\) \(3\) \(4\)
\(f(x)\) \(1\) \(3\) \(5\) \(7\) \(9\)

Function sign table#

The flex-table below uses the class function-table to render the sign table of \(f(x)=\dfrac{\sqrt{-x+2}}{2x(2x+1)}\).

\(x\) \(\tiny-\;\infty\) \(-\frac{1}{2}\) \(0\) \(2\) \(\tiny+\;\infty\)
\(\sqrt{-x+2}\) \(+\) \(+\) \(+\) \(0\)
\(2x\) \(-\) \(-\) \(0\) \(+\) \(+\)
\(2x+1\) \(-\) \(0\) \(+\) \(+\) \(+\)
\(\dfrac{\sqrt{-x+2}}{2x(2x+1)}\) \(+\) \(-\) \(+\) \(0\)

JSXGraph#

This section renders live graphs using jsxgraph directives. The graphs are interactive: some points can be dragged, and some of the graphs can be panned and zoomed by holding Shift.

Sine and cosine#

Centroid#

Drag the points \(P_1\), \(P_2\) and \(P_3\).

Trigonometric circle#

Drag the point \(P\) on the circle.

Template: grid#

5mm grid (approximate) for writing

Millimeter grid (approximate) for precise drawing

Template: axes#

Custom template#

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