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Beliebt Rechnen >

derivative of sqrt(5x^6-12)

Lösung

\frac{d}{d x} (5 x^{6} - 12)

Lösung

\frac{15 x ^{5}}{5 x ^{6} - 12}

Schritte zur Lösung

\frac{d}{d x} (5 x^{6} - 12)

Wende die Kettenregel an:

\frac{1}{2 5 x ^{6} - 12} \frac{d}{d x} (5 x^{6} - 12)

= \frac{1}{2 5 x ^{6} - 12} \frac{d}{d x} (5 x^{6} - 12)

\frac{d}{d x} (5 x^{6} - 12) = 30 x^{5}

= \frac{1}{2 5 x ^{6} - 12} \cdot 30 x^{5}

Vereinfache

\frac{1}{2 5 x ^{6} - 12} \cdot 30 x^{5} : \frac{15 x ^{5}}{5 x ^{6} - 12}

= \frac{15 x ^{5}}{5 x ^{6} - 12}

Graph

Beliebte Beispiele

integral of e^{5x}cos(8x)

\int e^{5 x} cos (8 x) d x

integral from (11pi)/2 to 6pi of 9sin(x)

\int_{\frac{11 π}{2}}^{6 π} 9 sin (x) d x

y^'=(1-y)cos(x)

y^{^{'}} = (1 - y) cos (x)

tangent y=(x^3-16x)^8,(-4,0)

t an g e n t y = (x^{3} - 16 x)^{8}, (- 4, 0)

(dy)/(dx)=(x+y)

\frac{d y}{d x} = (x + y)