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Beliebt Rechnen >

derivative of 4x+12y,12x-3y

Lösung

\frac{d}{d x} (4 x + 12 y, 12 x - 3 y)

Lösung

4 + (12, 12 (\frac{d y}{d x} x + 1 \cdot y)) - 3 \frac{d y}{d x}

Schritte zur Lösung

\frac{d}{d x} (4 x + 12 y, 12 x - 3 y)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4 x) + \frac{d}{d x} (12 y, 12 x) - \frac{d}{d x} (3 y)

\frac{d}{d x} (4 x) = 4

\frac{d}{d x} (12 y, 12 x) = (12, 12 (\frac{d y}{d x} x + 1 \cdot y))

\frac{d}{d x} (3 y) = 3 \frac{d y}{d x}

= 4 + (12, 12 (\frac{d y}{d x} x + 1 \cdot y)) - 3 \frac{d y}{d x}

Beliebte Beispiele

f(r)=6\sqrt[3]{r}

f (r) = 6 3 r

integral of x^2*sin(3x)

\int x^{2} \cdot sin (3 x) d x

limit as x approaches 14 of 7/x+sqrt(x)

x \to 14 lim (\frac{7}{x} + x)

inverselaplace (3s)/(s^2+5s+6)

in v erse l a pl a ce \frac{3 s}{s ^{2} + 5 s + 6}

tangent 8cos(x)

t an g e n t 8 cos (x)