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Beliebt Rechnen >

derivative f(x)=3x^2-ln(x)

Lösung

ableitung von

f (x) = 3 x^{2} - ln (x)

Lösung

6 x - \frac{1}{x}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x^{2}) - \frac{d}{d x} (ln (x))

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d}{d x} (ln (x)) = \frac{1}{x}

= 6 x - \frac{1}{x}

Graph

Beliebte Beispiele

t a y l or \frac{2}{x}, 3

x^2y^{''}+xy^'-y= 1/x

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

(dy)/(dx)=((4y+3)/(8x+5))^2

\frac{d y}{d x} = (\frac{4 y + 3}{8 x + 5})^{2}

integral of cos(x^2)x

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

inverselaplace 8/((s^2+6s+8))

in v erse l a pl a ce \frac{8}{( s ^{2} + 6 s + 8 )}