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Beliebt Rechnen >

derivative of 2x^{3/2}+4x^{5/4}

Lösung

\frac{d}{d x} (2 x^{\frac{3}{2}} + 4 x^{\frac{5}{4}})

Lösung

3 x^{\frac{1}{2}} + 5 x^{\frac{1}{4}}

Schritte zur Lösung

\frac{d}{d x} (2 x^{\frac{3}{2}} + 4 x^{\frac{5}{4}})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (2 x^{\frac{3}{2}}) + \frac{d}{d x} (4 x^{\frac{5}{4}})

\frac{d}{d x} (2 x^{\frac{3}{2}}) = 3 x^{\frac{1}{2}}

\frac{d}{d x} (4 x^{\frac{5}{4}}) = 5 x^{\frac{1}{4}}

= 3 x^{\frac{1}{2}} + 5 x^{\frac{1}{4}}

Graph

Beliebte Beispiele

derivative of 2xsqrt(25-x^2)

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

integral of (x^5e^{x^6})

\int (x^{5} e^{x^{6}}) d x

integral of x^3-2x+3

\int x^{3} - 2 x + 3 d x

(\partial)/(\partial x)(9x)

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

limit as x approaches 4 of x^3

x \to 4 lim (x^{3})