LaTeX Snippet Collection

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\ce{H2O}\\[10px] \ce{ <=> }\\[10px] \ce{A + B -> C + D}\\[10px] \ce{ -> }\\[10px] \ce{Fe^2+}

IUTest 0

a^2 + b^2 = c^2\\[10px] \begin{aligned} c &= \sqrt{a^2 + b^2}\\[10px] &= \sqrt{3^2 + 4^2}\\[10px] &= \sqrt{25}\\[10px] &= \boxed{5} \end{aligned}

Relates the sides of a right triangle: the square of the hypotenuse.

\begin{aligned} x &= \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \\[10px] x &= \frac{-5 \pm \sqrt{5^2 - 4(2)(-3)}}{2(2)} \\[10px] &= \frac{-5 \pm \sqrt{49}}{4} \\[10px] &= \frac{-5 \pm 7}{4} \\[10px] &\boxed{x = \frac{1}{2}} \quad \text{or} \quad \boxed{x = -3} \end{aligned}

Solves for the roots of a quadratic equation ax2 + bx + c = 0. Using 'aligned' to make the equation looks neater.

IUTest 0

\begin{aligned} &\frac{d}{dx}x^n = nx^{n-1} \\[10px] &\text{Example: } \\[4px] &\frac{d}{dx}x^5 = 5x^{4} \end{aligned}

Finds the derivative of a power function x^n.

IUTest 0

\begin{gathered} 5 \underbrace{\hspace{30px}\vphantom{10px}}_{+2} 7 \underbrace{\hspace{30px}\vphantom{10px}}_{+3} 10 \underbrace{\hspace{30px}\vphantom{10px}}_{+4} 14 \underbrace{\hspace{30px}\vphantom{10px}}_{+5} 19 \underbrace{\hspace{30px}\vphantom{10px}}_{+6} ? \\[1cm] \text{Then the answer is } 19+6=25. \\[2cm] 5 \underbrace{}_{+2} 7 \underbrace{\hspace{30px}\vphantom{10px}}_{+3} 10 \underbrace{\hspace{30px}\vphantom{10px}}_{+4} 14 \underbrace{\hspace{30px}\vphantom{10px}}_{+5} 19 \underbrace{\hspace{30px}\vphantom{10px}}_{+6} ? \\[1cm] \text{Then the answer is } 19+6=25. \end{gathered}

Extra space added between numbers (hspace) and the brace below (vphantom).