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Beliebt Rechnen >

(\partial)/(\partial y)(4x^2+3y^4)

Lösung

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

Lösung

12 y^{3}

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial y} (3 y^{4}) = 12 y^{3}

= 0 + 12 y^{3}

Vereinfache

= 12 y^{3}

Beliebte Beispiele

integral of cot^2(3x)

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

integral of (1+sqrt(x))^3

\int (1 + x)^{3} d x

derivative of sqrt((x^3-1/(x^3+1)))

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

f(x)=(xcos(x)+pi)/(x-pi)

f (x) = \frac{x cos ( x ) + π}{x - π}

derivative of (1+3/x ^x)

\frac{d}{d x} ((1 + \frac{3}{x})^{x})