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

Lösung

ableitung von

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

\frac{df}{d x} = - \frac{2 x f}{x ^{4} + 3 x ^{2} + 2}

Schritte zur Lösung

f = \frac{f}{x ^{2} + 2}

Behandle

f

wie

f (x)

Beide Seiten differenzieren:

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

Isoliere

\frac{df}{d x} : \frac{df}{d x} = - \frac{2 x f}{x ^{4} + 3 x ^{2} + 2}

\frac{df}{d x} = - \frac{2 x f}{x ^{4} + 3 x ^{2} + 2}

\int_{1}^{16} \frac{4}{x} d x

x \to 0 lim (\frac{2 x}{x ^{2} - 5 x})

\frac{\partial}{\partial x} (4 x ln (x) y)

\int (2 x + y)^{8} d x

x \to 0 + lim ((x)^{- x^{2}})