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Beliebt Rechnen >

(\partial)/(\partial x)(4x^2-4xy+xyz)

Lösung

\frac{\partial}{\partial x} (4 x^{2} - 4 x y + x yz)

Lösung

8 x - 4 y + yz

Schritte zur Lösung

\frac{\partial}{\partial x} (4 x^{2} - 4 x y + x yz)

Behandle

y, z

als Konstanten

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (4 x^{2}) - \frac{\partial}{\partial x} (4 x y) + \frac{\partial}{\partial x} (x yz)

\frac{\partial}{\partial x} (4 x^{2}) = 8 x

\frac{\partial}{\partial x} (4 x y) = 4 y

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

= 8 x - 4 y + yz

Beliebte Beispiele

integral of (t^2-1)(4+3t)

\int (t^{2} - 1) (4 + 3 t) d t

tangent f(x)=x^4,\at x=1

t an g e n t f (x) = x^{4}, at x = 1

tangent y= 6/(sqrt(x)),(25, 6/5)

t an g e n t y = \frac{6}{x}, (25, \frac{6}{5})

limit as x approaches infinity of ((sqrt(2x^2+1)))/(3x-5)

x \to \infty lim (\frac{( 2 x ^{2} + 1 )}{3 x - 5})

laplacetransform cos(t+pi/4)

l a pl a ce t r an s f or m cos (t + \frac{π}{4})