Basic Building Blocks
Almost all functions that we will encounter are built from $x^n$,
$e^x$, $\ln(x)$, $\sin(x)$ and $\cos(x)$. Memorize the following derivatives
until they're as familiar as the 1-digit multiplication table from elementary school.
$$
\frac{d}{dx}\bigl( x^n\bigr) =nx^{n-1}$$
$$
\frac{d}{dx}\bigl(e^x\bigr) =e^x$$
$$
\frac{d}{dx}\bigl(\ln(x)\bigr) =\frac{1}{x}$$
$$
\frac{d}{dx}\bigl(\sin(x)\bigr) =\cos(x)$$
$$
\frac{d}{dx}\bigl(\cos(x)\bigr) =-\sin(x)$$
|
|