derivative of (5x^2)

Lösung

\frac{d}{d x} ((5 x)^{2})

50 x

Schritte zur Lösung

\frac{d}{d x} ((5 x)^{2})

Vereinfache

(5 x)^{2} : 25 x^{2}

= \frac{d}{d x} (25 x^{2})

Entferne die Konstante:

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

= 25 \frac{d}{d x} (x^{2})

Wende die Potenzregel an:

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

= 25 \cdot 2 x^{2 - 1}

Vereinfache

= 50 x

in v erse l a pl a ce \frac{20}{s}

\frac{\partial}{\partial x} (\frac{2}{x ^{2}})

θ \to 0 lim (\frac{tan ( θ )}{θ})

\frac{d}{d x} (x^{2} - 5 x + 6)

t an g e n t f (x) = \frac{8 x}{x ^{2} + 1}, at x = - 1