derivative of 4x-1/(x^2)

Lösung

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

4 + \frac{2}{x ^{3}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (4 x) = 4

\frac{d}{d x} (\frac{1}{x ^{2}}) = - \frac{2}{x ^{3}}

= 4 - (- \frac{2}{x ^{3}})

Vereinfache

= 4 + \frac{2}{x ^{3}}

\int \frac{sinh ( x )}{x} d x

y^{^{'}} = (1 + y)^{4}

\frac{d y}{d x} = x^{\frac{5}{2}} y^{3}

\frac{\partial}{\partial y} (\frac{2 x + 3 y}{y - x})

\int \frac{e ^{- b x}}{1 - e ^{- 2 b x}} d x