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Beliebt Rechnen >

(\partial)/(\partial x)(9x^2)

Lösung

\frac{\partial}{\partial x} (9 x^{2})

Lösung

18 x

Schritte zur Lösung

\frac{\partial}{\partial x} (9 x^{2})

Entferne die Konstante:

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

= 9 \frac{\partial}{\partial x} (x^{2})

Wende die Potenzregel an:

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

= 9 \cdot 2 x^{2 - 1}

Vereinfache

= 18 x

Beliebte Beispiele

derivative f(x)=4-x^2

d er i v a t i v e f (x) = 4 - x^{2}

limit as x approaches-2 of (x^2-1)/(2-x)

x \to - 2 lim (\frac{x ^{2} - 1}{2 - x})

tangent y=sqrt(x),(25,5)

t an g e n t y = x, (25, 5)

(d^2)/(dx^2)((x^2-1)/(x^2+1))

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

derivative of 1/pi cx^2+ln(cos^3(x))

\frac{d}{d x} (\frac{1}{π} c x^{2} + ln (cos^{3} (x)))