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Beliebt Rechnen >

derivative of \sqrt[8]{x}-8e^x

Lösung

\frac{d}{d 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

tangent f(x)=x^2-9,(4,7)

t an g e n t f (x) = x^{2} - 9, (4, 7)

(\partial)/(\partial y)(ln(x^3+y^3))

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

6x+10,4x+44,x=15,x=19

6 x + 10, 4 x + 44, x = 15, x = 19

integral from 3.5 to 7 of 274000-39200x

\int_{3.5}^{7} 274000 - 39200 x d x

derivative of tan(4x+4)

\frac{d}{d x} (tan (4 x + 4))