derivative (sqrt(x))/((x/(10))^')

Lösung

ableitung von

\frac{x}{( \frac{x}{10} ) ^{^{'}}}

\frac{5}{x}

Schritte zur Lösung

(\frac{x}{( \frac{x}{10} ) ^{'}})^{'}

Wende die Quotientenregel an:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{( x ) ^{^{'}} ( \frac{x}{10} ) ^{^{'}} - ( ( \frac{x}{10} ) ^{^{'}} ) ^{^{'}} x}{( ( \frac{x}{10} ) ^{^{'}} ) ^{2}}

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

(\frac{x}{10})^{'} = \frac{1}{10}

(\frac{x}{10})^{''} = 0

(\frac{x}{10})^{'} = \frac{1}{10}

(\frac{x}{10})^{'} = \frac{1}{10}

= \frac{\frac{1}{2 x} \cdot \frac{1}{10} - 0 \cdot x}{( \frac{1}{10} ) ^{2}}

Vereinfache

\frac{\frac{1}{2 x} \cdot \frac{1}{10} - 0 \cdot x}{( \frac{1}{10} ) ^{2}} : \frac{5}{x}

= \frac{5}{x}

s l o p e x^{2} - y^{2} = 64, (8, 0)

a re a 2 x - x^{2}, 8 - 4 x, 4 x

\frac{\partial}{\partial t} (- 3 s^{2} t^{2})

\frac{d}{d x} ((10 x^{2} - 20 x + 20) e^{x})

\frac{d}{d x} (x (x^{2} + 8))