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Beliebt Rechnen >

(\partial)/(\partial x)(x^4+yz)

Lösung

\frac{\partial}{\partial x} (x^{4} + yz)

Lösung

4 x^{3}

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{4} + yz)

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (yz) = 0

= 4 x^{3} + 0

Vereinfache

= 4 x^{3}

Beliebte Beispiele

derivative of x(x^3+6^4)

\frac{d}{d x} (x (x^{3} + 6)^{4})

derivative 1/(x-e)

d er i v a t i v e \frac{1}{x - e}

limit as x approaches infinity of (10)/x

x \to \infty lim (\frac{10}{x})

integral of 1/((tan(x/2))^2+1)

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

derivative of 10sin^2(x)

\frac{d}{d x} (10 sin^{2} (x))