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Beliebt Rechnen >

derivative of 3x^2+2y^4

Lösung

\frac{d}{d x} (3 x^{2} + 2 y^{4})

Lösung

6 x + 8 y^{3} \frac{d y}{d x}

Schritte zur Lösung

\frac{d}{d x} (3 x^{2} + 2 y^{4})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (3 x^{2}) + \frac{d}{d x} (2 y^{4})

\frac{d}{d x} (3 x^{2}) = 6 x

\frac{d}{d x} (2 y^{4}) = 8 y^{3} \frac{d y}{d x}

= 6 x + 8 y^{3} \frac{d y}{d x}

Beliebte Beispiele

d/(dy)(e^{-xy})

\frac{d}{d y} (e^{- x y})

integral of (3-x^2)3

\int (3 - x^{2}) 3 d x

(dy)/(dx)=(1/(sec^2(y)))

\frac{d y}{d x} = (\frac{1}{sec ^{2} ( y )})

laplacetransform sin(t+pi/3)

l a pl a ce t r an s f or m sin (t + \frac{π}{3})

derivative f(x)=-3

d er i v a t i v e f (x) = - 3