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Beliebt Rechnen >

derivative of sqrt(x)-3e^x

Lösung

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

Lösung

\frac{1}{2 x} - 3 e^{x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (x) = \frac{1}{2 x}

\frac{d}{d x} (3 e^{x}) = 3 e^{x}

= \frac{1}{2 x} - 3 e^{x}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(ln(x^2+3))

\frac{\partial}{\partial x} (ln (x^{2} + 3))

limit as x approaches 2 of (2x-4)/(x-2)

x \to 2 lim (\frac{2 x - 4}{x - 2})

(3x^2+y-4)-(2y-x)(dy)/(dx)=0

(3 x^{2} + y - 4) - (2 y - x) \frac{d y}{d x} = 0

integral of 3ln(x)

\int 3 ln (x) d x

integral of e^{ln(sqrt(x))}

\int e^{l n (x)} d x