derivative of 40sqrt(x)

Lösung

\frac{d}{d x} (40 x)

\frac{20}{x}

Schritte zur Lösung

\frac{d}{d x} (40 x)

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 40 \frac{d}{d x} (x)

Wende Radikal Regel an:

a = a^{\frac{1}{2}}

= 40 \frac{d}{d x} (x^{\frac{1}{2}})

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 40 \cdot \frac{1}{2} x^{\frac{1}{2} - 1}

Vereinfache

40 \cdot \frac{1}{2} x^{\frac{1}{2} - 1} : \frac{20}{x}

= \frac{20}{x}

x \to - 2 lim (3 x - 1)

\int \frac{ln ( x ^{2} + 1 )}{x ^{3}} d x

\frac{\partial}{\partial x} (x^{0.25} Y (x)^{0.5})

t an g e n t 2 x^{2} - x - 3

in v erse l a pl a ce \frac{1}{( s ^{2} + 0.2 s + 1 ) s}