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Beliebt Rechnen >

derivative of 5/2 x^2

Lösung

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

Lösung

5 x

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Potenzregel an:

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

= \frac{5}{2} \cdot 2 x^{2 - 1}

Vereinfache

\frac{5}{2} \cdot 2 x^{2 - 1} : 5 x

= 5 x

Graph

Beliebte Beispiele

tangent y=-6/x ,\at x=-4

t an g e n t y = - \frac{6}{x}, at x = - 4

derivative of cot^2(3x)

\frac{d}{d x} (cot^{2} (3 x))

sum from n=5 to infinity of e^{3-4n}

n = 5 \sum \infty e^{3 - 4 n}

y^{''}+4pi^2y=cos^3(2pix)

y^{^{''}} + 4 π^{2} y = cos^{3} (2 π x)

integral of 2xInx^2

\int 2 x I n x^{2} d x