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Beliebt Rechnen >

derivative f(x)=sqrt(7)x-sqrt(2x)

Lösung

ableitung von

f (x) = 7 x - 2 x

Lösung

7 - \frac{1}{2 x}

Schritte zur Lösung

\frac{d}{d x} (7 x - 2 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (7 x) - \frac{d}{d x} (2 x)

\frac{d}{d x} (7 x) = 7

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

= 7 - \frac{1}{2 x}

Graph

Beliebte Beispiele

integral of (2x^2)/(2x+1)

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

integral of (2x)/(1+2x)

\int \frac{2 x}{1 + 2 x} d x

derivative of (x+1/(x-2))

\frac{d}{d x} (\frac{x + 1}{x - 2})

(dy)/(dx)=sqrt(7y)e^{x+2}

\frac{d y}{d x} = 7 y e^{x + 2}

(\partial)/(\partial x)((x^2+2)(x^3+1))

\frac{\partial}{\partial x} ((x^{2} + 2) (x^{3} + 1))