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Beliebt Rechnen >

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

Lösung

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

Lösung

4

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial y} (4 y) = 4

\frac{\partial}{\partial y} (3 x^{2}) = 0

= 4 - 0

Vereinfache

= 4

Beliebte Beispiele

integral of (x^4)/((3+x^5)^2)

\int \frac{x ^{4}}{( 3 + x ^{5} ) ^{2}} d x

integral of 1/(x*ln(x))

\int \frac{1}{x \cdot ln ( x )} d x

derivative of 4x+10

\frac{d}{d x} (4 x + 10)

limit as x approaches 1 of 3^{1/x}

x \to 1 lim (3^{\frac{1}{x}})

integral of (4x)/(sqrt(4x^2+5))

\int \frac{4 x}{4 x ^{2} + 5} d x