(\partial)/(\partial x)(5x^2y^2)

Lösung

\frac{\partial}{\partial x} (5 x^{2} y^{2})

10 x y^{2}

Schritte zur Lösung

\frac{\partial}{\partial x} (5 x^{2} y^{2})

Behandle

y

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 5 y^{2} \frac{\partial}{\partial x} (x^{2})

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= 5 y^{2} \cdot 2 x^{2 - 1}

Vereinfache

= 10 x y^{2}

d er i v a t i v e f (x) = 5 cos^{2} (x)

x \to 4 lim (\frac{x + 4}{x - 3})

\int (\frac{3 - 7 x + 9 x ^{2} e ^{7 x}}{x ^{2}}) d x

\int_{0}^{5} 100 - 10 t d t

n or ma l f (x) = - \frac{761}{12} x^{4} + \frac{2089}{3} x^{3} - \frac{31015}{12} x^{2} + \frac{11432}{3} x - 1833, at x = 5.35