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Beliebt Rechnen >

(3sqrt(x-1)+4sqrt(5-x))^'

Lösung

(3 x - 1 + 4 5 - x)^{^{'}}

Lösung

\frac{3}{2 x - 1} - \frac{2}{5 - x}

Schritte zur Lösung

(3 x - 1 + 4 5 - x)^{'}

Wende die Summen-/Differenzregel an:

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

= (3 x - 1)^{^{'}} + (4 5 - x)^{^{'}}

(3 x - 1)^{'} = \frac{3}{2 x - 1}

(4 5 - x)^{'} = - \frac{2}{5 - x}

= \frac{3}{2 x - 1} - \frac{2}{5 - x}

Graph

Beliebte Beispiele

integral of 1/(5x)

\int \frac{1}{5 x} d x

integral of sqrt(16-x^2)x

\int 16 - x^{2} x d x

integral from 0 to 3 of (3-x)^2

\int_{0}^{3} (3 - x)^{2} d x

y^{''}+5y^'+4y=8te^{2t}

y^{^{''}} + 5 y^{^{'}} + 4 y = 8 t e^{2 t}

limit as x approaches+0+of \sqrt[3]{x}

x \to + 0 + lim (3 x)