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Beliebt Rechnen >

derivative 3-11sqrt(x^5)

Lösung

ableitung von

3 - 11 x^{5}

Lösung

- \frac{55 x ^{\frac{3}{2}}}{2}

Schritte zur Lösung

\frac{d}{d x} (3 - 11 x^{5})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (3) - \frac{d}{d x} (11 x^{5})

\frac{d}{d x} (3) = 0

\frac{d}{d x} (11 x^{5}) = \frac{55 x ^{\frac{3}{2}}}{2}

= 0 - \frac{55 x ^{\frac{3}{2}}}{2}

Vereinfache

= - \frac{55 x ^{\frac{3}{2}}}{2}

Graph

Beliebte Beispiele

derivative of (x^3+1/(x^2-1))

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

sum from n=1 to infinity of n/(8^n)

n = 1 \sum \infty \frac{n}{8 ^{n}}

(\partial)/(\partial y)(ysin(xz))

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

x^{2} y y^{^{'}} = e^{y}

y^{^{'}} = y^{2} - 3