derivative of x^{1/4}-4e^x

Lösung

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

\frac{1}{4 x ^{\frac{3}{4}}} - 4 e^{x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (x^{\frac{1}{4}}) = \frac{1}{4 x ^{\frac{3}{4}}}

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

= \frac{1}{4 x ^{\frac{3}{4}}} - 4 e^{x}

in v erse l a pl a ce \frac{6}{s} + 16 (\frac{1}{s ^{2} + 16})

\frac{\partial}{\partial y} (x x^{2} + y^{2})

\frac{d}{d x} (cos (x) + 2 sin (x))

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

\frac{\partial}{\partial y} (8 y - (x + y)^{3})