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Beliebt Rechnen >

derivative 1/(2sqrt(t+4i))+2j

Lösung

ableitung von

\frac{1}{2 t + 4 i} + 2 j

Lösung

- \frac{1}{4 ( t + 4 i ) ^{\frac{3}{2}}}

Schritte zur Lösung

\frac{d}{d t} (\frac{1}{2 t + 4 i} + 2 j)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d t} (\frac{1}{2 t + 4 i}) + \frac{d}{d t} (2 j)

\frac{d}{d t} (\frac{1}{2 t + 4 i}) = - \frac{1}{4 ( t + 4 i ) ^{\frac{3}{2}}}

\frac{d}{d t} (2 j) = 0

= - \frac{1}{4 ( t + 4 i ) ^{\frac{3}{2}}} + 0

Vereinfache

= - \frac{1}{4 ( t + 4 i ) ^{\frac{3}{2}}}

Graph

Beliebte Beispiele

integral from 0 to 1 of arctan(4x)

\int_{0}^{1} arctan (4 x) d x

integral of 3/((x^2+2)^2)

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

integral of sin((npix)/5)

\int sin (\frac{nπ x}{5}) d x

y^{^{'}} = \frac{1}{x} y

limit as x approaches 0-of e^{1/x}

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