derivative of (x^2/7)

Lösung

\frac{d}{d x} (\frac{x ^{2}}{7})

\frac{2 x}{7}

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{2}}{7})

Entferne die Konstante:

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

= \frac{1}{7} \frac{d}{d x} (x^{2})

Wende die Potenzregel an:

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

= \frac{1}{7} \cdot 2 x^{2 - 1}

Vereinfache

\frac{1}{7} \cdot 2 x^{2 - 1} : \frac{2 x}{7}

= \frac{2 x}{7}

t an g e n t f (x) = 2 x^{3} - 4 x^{2}, at x = 1

\int_{1}^{5} \frac{5}{x ^{2} + 4 x + 4} d x

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

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\frac{\partial}{\partial x} (3 x^{2} + 6 x y)