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Beliebt Rechnen >

derivative of 8\sqrt[4]{x}

Lösung

\frac{d}{d x} (8 4 x)

Lösung

\frac{2}{x ^{\frac{3}{4}}}

Schritte zur Lösung

\frac{d}{d x} (8 4 x)

Entferne die Konstante:

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

= 8 \frac{d}{d x} (4 x)

Wende Radikal Regel an:

n a = a^{\frac{1}{n}}

= 8 \frac{d}{d x} (x^{\frac{1}{4}})

Wende die Potenzregel an:

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

= 8 \cdot \frac{1}{4} x^{\frac{1}{4} - 1}

Vereinfache

8 \cdot \frac{1}{4} x^{\frac{1}{4} - 1} : \frac{2}{x ^{\frac{3}{4}}}

= \frac{2}{x ^{\frac{3}{4}}}

Graph

Beliebte Beispiele

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

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

derivative 9/(sqrt(x+2))

d er i v a t i v e \frac{9}{x + 2}

(\partial)/(\partial x)(xye^z+x-z^2-3)

\frac{\partial}{\partial x} (x y e^{z} + x - z^{2} - 3)

integral of sin^3(10x)

\int sin^{3} (10 x) d x

tangent y=sqrt(x^2-x+4),\at x=4

t an g e n t y = x^{2} - x + 4, at x = 4