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Beliebt Rechnen >

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

Lösung

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

Lösung

e^{x z} z + y

Schritte zur Lösung

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

Behandle

z, y

als Konstanten

Wende die Summen-/Differenzregel an:

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

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

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

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

= e^{x z} z + y

Beliebte Beispiele

(x^2+4)(dy)/(dx)=xy

(x^{2} + 4) \frac{d y}{d x} = x y

\frac{d y}{d x} = x y + 1

2y(dy)/(dx)+6=y^2+6x

2 y \frac{d y}{d x} + 6 = y^{2} + 6 x

tangent f(x)= 4/x ,(2,2)

t an g e n t f (x) = \frac{4}{x}, (2, 2)

limit as x approaches 3-of ((x+5))/(x-3)

x \to 3 - lim (\frac{( x + 5 )}{x - 3})