f, prime, left parenthesis, x, right parenthesis, equals, start fraction, e, start superscript, start fraction, x, squared, divided by, x, minus, 3, end fraction, end superscript, dot, 2, x, dot, left parenthesis, x, minus, 3, right parenthesis, minus, 1, dot, x, squared, divided by, left parenthesis, x, minus, 3, right parenthesis, squared, end fraction, equals, 0
Deze vergelijking ontdekt:
f ^ { \prime } ( x ) = \frac { e ^ { \frac { x ^ { 2 } } { x - 3 } } \cdot 2 x \cdot ( x - 3 ) - 1 \cdot x ^ { 2 } } { ( x - 3 ) ^ { 2 } } = 0
Voorbeelden
Vierkantsvergelijking
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometrie
4 \sin \theta \cos \theta = 2 \sin \theta
Lineaire vergelijking
y = 3x + 4
Rekenen
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Stelselvergelijking
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiëren
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integreren
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limieten
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}