derivative of-1/4 x^2

Lösung

\frac{d}{d x} (- \frac{1}{4} x^{2})

- \frac{x}{2}

Schritte zur Lösung

\frac{d}{d x} (- \frac{1}{4} x^{2})

Vereinfache

- \frac{1}{4} x^{2} : - \frac{x ^{2}}{4}

= \frac{d}{d x} (- \frac{x ^{2}}{4})

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= - \frac{1}{4} \frac{d}{d x} (x^{2})

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= - \frac{1}{4} \cdot 2 x^{2 - 1}

Vereinfache

- \frac{1}{4} \cdot 2 x^{2 - 1} : - \frac{x}{2}

= - \frac{x}{2}

t an g e n t f (x) = \frac{1}{x}, at x = 0.204

\int \frac{u ^{2} - 1}{u ^{2} + 1} d u

t an g e n t f (x) = 5 e^{x}, at x = 3

\frac{d}{d x} (\frac{x ^{3}}{( x + 2 ) ^{2}})

\int 36 (4 x + 4)^{(2)} - 2 (3 x - 1) d x