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Beliebt Rechnen >

derivative f(x)=sqrt(8x^{10)+6x^6}

Lösung

ableitung von

f (x) = 8 x^{10} + 6 x^{6}

Lösung

\frac{2 x ^{5} ( 20 x ^{4} + 9 )}{x ^{6} 4 x ^{4} + 3}

Schritte zur Lösung

\frac{d}{d x} (8 x^{10} + 6 x^{6})

Wende die Kettenregel an:

\frac{1}{2 8 x ^{10} + 6 x ^{6}} \frac{d}{d x} (8 x^{10} + 6 x^{6})

= \frac{1}{2 8 x ^{10} + 6 x ^{6}} \frac{d}{d x} (8 x^{10} + 6 x^{6})

\frac{d}{d x} (8 x^{10} + 6 x^{6}) = 80 x^{9} + 36 x^{5}

= \frac{1}{2 8 x ^{10} + 6 x ^{6}} (80 x^{9} + 36 x^{5})

Vereinfache

\frac{1}{2 8 x ^{10} + 6 x ^{6}} (80 x^{9} + 36 x^{5}) : \frac{2 x ^{5} ( 20 x ^{4} + 9 )}{x ^{6} 4 x ^{4} + 3}

= \frac{2 x ^{5} ( 20 x ^{4} + 9 )}{x ^{6} 4 x ^{4} + 3}

Graph

Beliebte Beispiele

integral of 1/(x^2)e^{1/x}

\int \frac{1}{x ^{2}} e^{\frac{1}{x}} d x

y^{^{'}} + y = - x^{4}

(\partial)/(\partial y)(x+y/z)

\frac{\partial}{\partial y} (x + \frac{y}{z})

integral of 7xe^{6x}

\int 7 x e^{6 x} d x

tangent y=2x^2+1,(3,19)

t an g e n t y = 2 x^{2} + 1, (3, 19)