(\partial)/(\partial x)(x^4+xy^3)

Lösung

\frac{\partial}{\partial x} (x^{4} + x y^{3})

4 x^{3} + y^{3}

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{4} + x y^{3})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{4}) + \frac{\partial}{\partial x} (x y^{3})

\frac{\partial}{\partial x} (x^{4}) = 4 x^{3}

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

= 4 x^{3} + y^{3}

x \to 0 + lim (\frac{e ^{x}}{x})

x \to 5 lim (8 x + 9)

\int \frac{( x + 6 ) ^{5}}{2 x} d x

\int \frac{1}{x ( ln ( x ) ) ^{9}} d x

\frac{\partial}{\partial x} (x^{2} - 2 x y + 3 y^{2} - 8 y)