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Beliebt Rechnen >

(\partial)/(\partial x)(sqrt(x^2+8))

Lösung

\frac{\partial}{\partial x} (x^{2} + 8)

Lösung

\frac{x}{x ^{2} + 8}

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{2} + 8)

Wende die Kettenregel an:

\frac{1}{2 x ^{2} + 8} \frac{\partial}{\partial x} (x^{2} + 8)

= \frac{1}{2 x ^{2} + 8} \frac{\partial}{\partial x} (x^{2} + 8)

\frac{\partial}{\partial x} (x^{2} + 8) = 2 x

= \frac{1}{2 x ^{2} + 8} \cdot 2 x

Vereinfache

\frac{1}{2 x ^{2} + 8} \cdot 2 x : \frac{x}{x ^{2} + 8}

= \frac{x}{x ^{2} + 8}

Beliebte Beispiele

derivative of x^{x^{x^{x^x}}}

\frac{d}{d x} (x^{x^{x^{x^{x}}}})

integral of (x^3-1)/(x-1)

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

integral of ((sin(x))/(cos^2(x)))

\int (\frac{sin ( x )}{cos ^{2} ( x )}) d x

sum from n=2 to infinity of 8/(4^{2n)}

n = 2 \sum \infty \frac{8}{4 ^{2 n}}

y^'=(-2xy)/(1+x^2)

y^{^{'}} = \frac{- 2 x y}{1 + x ^{2}}