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Beliebt Rechnen >

(d^3)/(dx^3)(sqrt(2x+3))

Lösung

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

Lösung

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

Schritte zur Lösung

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

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

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

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

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

\frac{d}{d x} (- \frac{1}{( 2 x + 3 ) ^{\frac{3}{2}}}) = \frac{3}{( 2 x + 3 ) ^{\frac{5}{2}}}

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

Beliebte Beispiele

integral from 0 to 7 of 1/((49+x^2))

\int_{0}^{7} \frac{1}{( 49 + x ^{2} )} d x

derivative of sin(x/5)

\frac{d}{d x} (sin (\frac{x}{5}))

y^{'''}+8y^{''}+52y^'=0

y^{^{'''}} + 8 y^{^{''}} + 52 y^{^{'}} = 0

integral from 0 to 1 of 5e^{-5x}

\int_{0}^{1} 5 e^{- 5 x} d x

integral of 3/(x-1)

\int \frac{3}{x - 1} d x