derivative x^3y-y^2

Lösung

ableitung von

x^{3} y - y^{2}

3 x^{2} y

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (y^{2}) = 0

= 3 y x^{2} - 0

Vereinfache

= 3 x^{2} y

\int (tan (4 x) + sec (4 x))^{2} d x

\frac{\partial}{\partial x} (e^{3 x - y})

t an g e n t f (x) = 3 e^{1 - x^{2}}, (1, 3)

n = 0 \sum \infty - \frac{1}{5 ^{n}}

11 x^{2} y + \frac{d y}{d x} = - 6 x^{2}