derivative of-2sqrt(9x^2+8)

Lösung

\frac{d}{d x} (- 2 9 x^{2} + 8)

- \frac{18 x}{9 x ^{2} + 8}

Schritte zur Lösung

\frac{d}{d x} (- 2 9 x^{2} + 8)

Entferne die Konstante:

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

= - 2 \frac{d}{d x} (9 x^{2} + 8)

Wende die Kettenregel an:

\frac{1}{2 9 x ^{2} + 8} \frac{d}{d x} (9 x^{2} + 8)

= \frac{1}{2 9 x ^{2} + 8} \frac{d}{d x} (9 x^{2} + 8)

\frac{d}{d x} (9 x^{2} + 8) = 18 x

= - 2 \cdot \frac{1}{2 9 x ^{2} + 8} \cdot 18 x

Vereinfache

- 2 \cdot \frac{1}{2 9 x ^{2} + 8} \cdot 18 x : - \frac{18 x}{9 x ^{2} + 8}

= - \frac{18 x}{9 x ^{2} + 8}

d er i v a t i v e y = lo g_{5} (x^{4} - 7)

t an g e n t y = x^{3} - 9 x, (1, - 8)

\frac{\partial}{\partial y} (- e^{- x y^{2}} \cdot y^{2})

\frac{\partial}{\partial x} (e^{s i n (x^{2})})

\int \frac{5 arcsin ( x )}{x ^{2}} d x