derivative f(x)=x^3-12x

Lösung

ableitung von

f (x) = x^{3} - 12 x

3 x^{2} - 12

Schritte zur Lösung

\frac{d}{d x} (x^{3} - 12 x)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (12 x)

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

\frac{d}{d x} (12 x) = 12

= 3 x^{2} - 12

\frac{d}{d z} (cos (z))

x \to 0 lim (π)

d er i v a t i v e y = ln (\frac{7 + e ^{x}}{7 - e ^{x}})

y^{^{'}} = \frac{( 3 x ^{7} e ^{\frac{y}{x}} + x ^{5} y ^{2} )}{x ^{6} y}

x \to 0 lim (\frac{1 - cos ( 7 x )}{4 x ^{2}})