(\partial)/(\partial x)(e^{xy}+x^2z)

Lösung

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

e^{x y} y + 2 z x

Schritte zur Lösung

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

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

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

= e^{x y} y + 2 z x

\int cos^{2} (θ) d θ

\frac{d ^{2}}{d x ^{2}} f (x) = \frac{7}{x + 4}, at x = 0

n = 1 \sum \infty \frac{n ^{2}}{n !}

3 x^{2} e^{y} + (x^{3} e^{y} - 1) \frac{d y}{d x} = 0

t an g e n t f (x) = x sin (π x), at x = 1