derivative of 1+sqrt(x-1)

Lösung

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

\frac{1}{2 x - 1}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (1) = 0

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

= 0 + \frac{1}{2 x - 1}

Vereinfache

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

(x^{3} - 25 x^{2})^{^{'}}

\int arctan (\frac{2 x}{1 - x ^{2}}) d x

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

\frac{\partial}{\partial y} (\frac{y}{7 x})

\int_{1}^{4} (x) d x