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Beliebt Rechnen >

(\partial)/(\partial x)(4z^2-6sin(x))

Lösung

\frac{\partial}{\partial x} (4 z^{2} - 6 sin (x))

Lösung

- 6 cos (x)

Schritte zur Lösung

\frac{\partial}{\partial x} (4 z^{2} - 6 sin (x))

Behandle

z

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (4 z^{2}) - \frac{\partial}{\partial x} (6 sin (x))

\frac{\partial}{\partial x} (4 z^{2}) = 0

\frac{\partial}{\partial x} (6 sin (x)) = 6 cos (x)

= 0 - 6 cos (x)

Vereinfache

= - 6 cos (x)

Beliebte Beispiele

(\partial)/(\partial x)(xyz^2-18)

\frac{\partial}{\partial x} (x y z^{2} - 18)

limit as x approaches 0 of (x^2+8)/(x-1)

x \to 0 lim (\frac{x ^{2} + 8}{x - 1})

derivative of (3x-1(2x+5))

\frac{d}{d x} ((3 x - 1) (2 x + 5))

x^{''}-14x^'+49x=4te^{7t}

x^{^{''}} - 14 x^{^{'}} + 49 x = 4 t e^{7 t}

t an g e n t x^{3} + 4 x