(\partial)/(\partial x)(x^2+3y^3)

Lösung

\frac{\partial}{\partial x} (x^{2} + 3 y^{3})

2 x

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{2} + 3 y^{3})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (3 y^{3}) = 0

= 2 x + 0

Vereinfache

= 2 x

\int \frac{100}{w ^{2} 25 - w ^{2}} d w

t an g e n t f (x) = 1 - 6 x, at x = - 1

d er i v a t i v e \frac{9 x}{x}

\int \frac{x ^{2} - 2 x - 5}{( x - 1 ) ^{2} ( x ^{2} + 1 )} d x

x \to 1 lim (\frac{3 x - 2}{2 x - 1})