derivative f(x)=5x^2-x^3

Lösung

ableitung von

f (x) = 5 x^{2} - x^{3}

10 x - 3 x^{2}

Schritte zur Lösung

\frac{d}{d x} (5 x^{2} - x^{3})

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (5 x^{2}) = 10 x

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

= 10 x - 3 x^{2}

\int_{\frac{π}{2}}^{π} 3 x - sin (x) d x

\int \frac{x}{( x ^{2} - 1 ) [ ln ( x ^{2} - 1 ) ] ^{2}} d x

y^{^{'}} = 5 y^{2} sin (x)

\frac{d}{d x} (x^{c o t (x)})

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