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Beliebt Rechnen >

(\partial)/(\partial x)(4-2*(3x-y)^2)

Lösung

\frac{\partial}{\partial x} (4 - 2 \cdot (3 x - y)^{2})

Lösung

- 12 (3 x - y)

Schritte zur Lösung

\frac{\partial}{\partial x} (4 - 2 (3 x - y)^{2})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (4) - \frac{\partial}{\partial x} (2 (3 x - y)^{2})

\frac{\partial}{\partial x} (4) = 0

\frac{\partial}{\partial x} (2 (3 x - y)^{2}) = 12 (3 x - y)

= 0 - 12 (3 x - y)

Vereinfache

= - 12 (3 x - y)

Beliebte Beispiele

steigung y=-(-6x+6)^{1/2},x=-5

s l o p e y = - (- 6 x + 6)^{\frac{1}{2}}, x = - 5

d/(dv)(ae^v+b/v+c/(v^2))

\frac{d}{d v} (a e^{v} + \frac{b}{v} + \frac{c}{v ^{2}})

x y^{^{'}} - 2 y + y^{2} = 0

y^{''}+2ky^'+k^4y=0

y^{^{''}} + 2 k y^{^{'}} + k^{4} y = 0

steigung (9,12),(-2,-17)

s l o p e (9, 12), (- 2, - 17)