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Beliebt Rechnen >

derivative of 1/(2sqrt(x)+1/(4x^{3/4)})

Lösung

\frac{d}{d x} (\frac{1}{2 x} + \frac{1}{4 x ^{\frac{3}{4}}})

Lösung

- \frac{1}{4 x ^{\frac{3}{2}}} - \frac{3}{16 x ^{\frac{7}{4}}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{2 x} + \frac{1}{4 x ^{\frac{3}{4}}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{1}{2 x}) + \frac{d}{d x} (\frac{1}{4 x ^{\frac{3}{4}}})

\frac{d}{d x} (\frac{1}{2 x}) = - \frac{1}{4 x ^{\frac{3}{2}}}

\frac{d}{d x} (\frac{1}{4 x ^{\frac{3}{4}}}) = - \frac{3}{16 x ^{\frac{7}{4}}}

= - \frac{1}{4 x ^{\frac{3}{2}}} - \frac{3}{16 x ^{\frac{7}{4}}}

Graph

Beliebte Beispiele

xy^'-y=x^2sin(x)

x y^{^{'}} - y = x^{2} sin (x)

(dx)/(dy)=5x(6-x)

\frac{d x}{d y} = 5 x (6 - x)

limit as x approaches 0 of ((1+x)^5-1)/x

x \to 0 lim (\frac{( 1 + x ) ^{5} - 1}{x})

limit as x approaches 16-of 8/(11+2^{\frac{1){x-16}}}

x \to 16 - lim (\frac{8}{11 + 2 ^{\frac{1}{x - 16}}})

integral of-2x^4-4x^2-5

\int - 2 x^{4} - 4 x^{2} - 5 d x