derivative of sqrt(x/a)

Lösung

\frac{d}{d x} (\frac{x}{a})

\frac{1}{2 a x}

Schritte zur Lösung

\frac{d}{d x} (\frac{x}{a})

Wende die Kettenregel an:

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

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

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

= \frac{1}{2 \frac{x}{a}} \cdot \frac{1}{a}

Vereinfache

\frac{1}{2 \frac{x}{a}} \cdot \frac{1}{a} : \frac{1}{2 a x}

= \frac{1}{2 a x}

t an g e n t f (x) = (1 + 4 x) (5 - 2 x), at x = 2

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

t an g e n t f (x) = sin (sin (x)), 0, at x = π

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

\frac{\partial}{\partial x} (2 x^{3} + x y^{2} + 5 x^{2} + y^{2})