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Beliebt Rechnen >

derivative (4x-3)^{1/2}

Lösung

ableitung von

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

taylor ln(1+x),0

t a y l or ln (1 + x), 0

y^{^{'}} + 3 y = e^{- 3 t}

integral from 0 to 1 of 3x^3

\int_{0}^{1} 3 x^{3} d x

integral from 0 to 2 of-x^2+4

\int_{0}^{2} - x^{2} + 4 d x

d/(dy)(xe^{-y})

\frac{d}{d y} (x e^{- y})