derivative y=(f(x))/(x^2+2)

Lösung

ableitung von

y = \frac{f ( x )}{x ^{2} + 2}

\frac{\frac{df}{d x} ( x ^{2} + 2 ) - 2 x f ( x )}{( x ^{2} + 2 ) ^{2}}

Schritte zur Lösung

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

Wende die Quotientenregel an:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{df}{d x} ( x ^{2} + 2 ) - \frac{d}{d x} ( x ^{2} + 2 ) f ( x )}{( x ^{2} + 2 ) ^{2}}

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

= \frac{\frac{df}{d x} ( x ^{2} + 2 ) - 2 x f ( x )}{( x ^{2} + 2 ) ^{2}}

\frac{\partial}{\partial L} (L^{\frac{1}{4}})

\int \frac{2 - 8 x}{81 - 4 x ^{2}} d x

\frac{d x}{d t} = c_{1} x - c_{2} x^{2}

\int_{- 1}^{2} \frac{3}{x ^{2}} d x

n = 0 \sum \infty 5^{n}