derivative of 1/3 x^3+x^2

Lösung

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

x^{2} + 2 x

Schritte zur Lösung

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

Vereinfache

\frac{1}{3} x^{3} + x^{2} : \frac{x ^{3}}{3} + x^{2}

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= x^{2} + 2 x

in v erse l a pl a ce \frac{( s + 1 )}{s ^{2} + s + \frac{1}{2}}

\int \frac{6}{( x - 2 ) ( x + 4 )} d x

\frac{\partial}{\partial x} ((3 x + 4 y)^{5})

d er i v a t i v e y = \frac{x ^{5}}{1 - x ^{4}}

x \to \infty lim (sin (0))