Formulario

Addizione - Sottrazione
$sin(\alpha + \beta) = sin(\alpha)cos(\beta)+cos(\alpha)sin(\beta)$
$sin(\alpha - \beta) = sin(\alpha)cos(\beta)-cos(\alpha)sin(\beta)$
$cos(\alpha + \beta) = cos(\alpha)cos(\beta)-sin(\alpha)sin(\beta)$
$cos(\alpha - \beta) = cos(\alpha)cos(\beta)+sin(\alpha)sin(\beta)$
$tan(\alpha \pm \beta) = \frac{tan(\alpha)\pm tan(\beta)}{1 \mp tan(\alpha)tan(\beta)}$

Duplicazione
$sin(2\alpha)=2sin(\alpha)cos(\alpha)$


Logaritmi
$a^{log_ab} = b$
$log_a(bc)=log_ab+log_ac$
$log_a(b^c)=clog_ab$
$log_a(\frac{b}{c})=log_ab-log_ac$
$log_ab=\frac{log_cb}{log_ca}$
$log_ab=\frac{1}{log_ba}$

Derivate
$D[k] = 0$
$D[kx]=k$
$D[k x^n]=k n x^{n-1}$
$D[ln {f(x)}]=\frac{f'(x)}{f(x)}$
$D[e^{f(x)}]=f'(x)e^{f(x)}$
$D[a^{f(x)}]=f'(x)a^{f(x)}lna$
$D[ln_ax]=\frac{1}{xlna}$
$D[\sqrt[n]{(f(x))^m}] = \frac{m f'(x)}{n \sqrt[n]{(f(x))^{n-m}}}$
$D[(f(x))^n]=n(f(x))^{n-1}f'(x)$
$D[kf(x)]=kf'(x)$
$D[f(x)+g(x)]=f'(x)+g'(x)$
$D[f(x)g(x)]=f'(x)g(x)+f(x)g'(x)$
$D[\frac{f(x)}{g(x)}]=\frac{f'(x)g(x)-f(x)g'(x)}{(g(x))^2}$
$D[f(g(x))]=f'(g(x))g'(x)$