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Beliebt Rechnen >

derivative f(x)=8ln(x)-x^2

Lösung

ableitung von

f (x) = 8 ln (x) - x^{2}

Lösung

\frac{8}{x} - 2 x

Schritte zur Lösung

\frac{d}{d x} (8 ln (x) - x^{2})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (8 ln (x)) - \frac{d}{d x} (x^{2})

\frac{d}{d x} (8 ln (x)) = \frac{8}{x}

\frac{d}{d x} (x^{2}) = 2 x

= \frac{8}{x} - 2 x

Graph

Beliebte Beispiele

(dy)/(dx)=10-2y

\frac{d y}{d x} = 10 - 2 y

derivative of sin(x^8)

\frac{d}{d x} (sin (x^{8}))

(\partial)/(\partial x)(2k^4+x+64)

\frac{\partial}{\partial x} (2 k^{4} + x + 64)

inverselaplace (e^{-s})/(s+1)

in v erse l a pl a ce \frac{e ^{- s}}{s + 1}

limit as x approaches 3+of 1/(x^3-27)

x \to 3 + lim (\frac{1}{x ^{3} - 27})