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Beliebt Rechnen >

(d^3)/(dx^3)(sqrt(6x+3))

Lösung

\frac{d ^{3}}{d x ^{3}} (6 x + 3)

Lösung

\frac{81}{( 6 x + 3 ) ^{\frac{5}{2}}}

Schritte zur Lösung

\frac{d ^{3}}{d x ^{3}} (6 x + 3)

\frac{d}{d x} (6 x + 3) = \frac{3}{6 x + 3}

= \frac{d ^{2}}{d x ^{2}} (\frac{3}{6 x + 3})

\frac{d}{d x} (\frac{3}{6 x + 3}) = - \frac{9}{( 6 x + 3 ) ^{\frac{3}{2}}}

= \frac{d}{d x} (- \frac{9}{( 6 x + 3 ) ^{\frac{3}{2}}})

\frac{d}{d x} (- \frac{9}{( 6 x + 3 ) ^{\frac{3}{2}}}) = \frac{81}{( 6 x + 3 ) ^{\frac{5}{2}}}

= \frac{81}{( 6 x + 3 ) ^{\frac{5}{2}}}

Beliebte Beispiele

integral from 0 to sin(x) of 8sqrt(t)

\int_{0}^{s i n (x)} 8 t d t

integral of-x-3

\int - x - 3 d x

derivative h(x)=(x^2-3)^3

d er i v a t i v e h (x) = (x^{2} - 3)^{3}

integral from-8 to 2 of 1/(sqrt(|2x|))

\int_{- 8}^{2} \frac{1}{∣ 2 x ∣} d x

d/(dy)(sin(2y))

\frac{d}{d y} (sin (2 y))