(\partial)/(\partial x)(x^1x^2+10x^1)

Lösung

\frac{\partial}{\partial x} (x^{1} x^{2} + 10 x^{1})

3 x^{2} + 10

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{1} x^{2} + 10 x^{1})

Vereinfache

x^{1} x^{2} + 10 x^{1} : x^{3} + 10 x

= \frac{\partial}{\partial x} (x^{3} + 10 x)

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{3}) + \frac{\partial}{\partial x} (10 x)

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

\frac{\partial}{\partial x} (10 x) = 10

= 3 x^{2} + 10

y^{3} - (18 x + 8) + 3 x y^{2} (\frac{d y}{d x}) = 0

x \to 1 lim (6)

\int \frac{1}{x} - \frac{1}{x ^{2}} d x

x y^{^{'}} = y + 9 x^{2} sin (x), y (π) = 0

\frac{\partial}{\partial z} (\frac{x}{y} + \frac{y}{z})