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Beliebt Rechnen >

derivative f(x)=\sqrt[8]{x}-8e^x

Lösung

ableitung von

f (x) = 8 x - 8 e^{x}

Lösung

\frac{1}{8 x ^{\frac{7}{8}}} - 8 e^{x}

Schritte zur Lösung

\frac{d}{d x} (8 x - 8 e^{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (8 x) - \frac{d}{d x} (8 e^{x})

\frac{d}{d x} (8 x) = \frac{1}{8 x ^{\frac{7}{8}}}

\frac{d}{d x} (8 e^{x}) = 8 e^{x}

= \frac{1}{8 x ^{\frac{7}{8}}} - 8 e^{x}

Graph

Beliebte Beispiele

integral of-sin^2(x)

\int - sin^{2} (x) d x

derivative of (3x^2-3/(-2x))

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

(\partial)/(\partial x)(8x^2)

\frac{\partial}{\partial x} (8 x^{2})

3y^{''}-5y^'-2y=x^3-2x

3 y^{^{''}} - 5 y^{^{'}} - 2 y = x^{3} - 2 x

limit as x approaches-2 of x^3-2x^2+1

x \to - 2 lim (x^{3} - 2 x^{2} + 1)