2024/G1/3

3.2 THE PRODUCT AND QUOTIENT RULES

${\frac {d}{dx}}[c]=0$
${\frac {d}{dx}}[c\cdot f(x)]=c\cdot {\frac {d}{dx}}[f(x)]$

${\frac {d}{dx}}[f(x)\pm g(x)]={\frac {d}{dx}}[f(x)]\pm {\frac {d}{dx}}[g(x)]$
${\frac {d}{dx}}[x^{n}]=n\cdot x^{n}-1$
${\frac {d}{dx}}[a^{x}]=\ln(a)a^{x}$
${\frac {d}{dx}}[e^{x}]=e^{x}$

3.3 DERIVATIVE OF TRIGONOMETRIC FUNCTIONS

$\lim _{z\to z}[f(x)g(x])=c\cdot [\lim _{x\to a}f(x)]$

3.4

Point Slope Form

$y-y_{1}=m(x-x_{1})$