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Beliebt Rechnen >

(\partial)/(\partial x)(5x^3+4xy^3)

Lösung

\frac{\partial}{\partial x} (5 x^{3} + 4 x y^{3})

Lösung

15 x^{2} + 4 y^{3}

Schritte zur Lösung

\frac{\partial}{\partial x} (5 x^{3} + 4 x y^{3})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (5 x^{3}) + \frac{\partial}{\partial x} (4 x y^{3})

\frac{\partial}{\partial x} (5 x^{3}) = 15 x^{2}

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

= 15 x^{2} + 4 y^{3}

Beliebte Beispiele

integral of (sqrt(x^2+1))/x

\int \frac{x ^{2} + 1}{x} d x

sum from n=1 to infinity}(x^{n-1 of)/(sqrt(x))

n = 1 \sum \infty \frac{x ^{n - 1}}{x}

limit as x approaches 1 of-1x^{-1-1}sin(1/x)-x^{-1-2}cos(1/x)

x \to 1 lim (- 1 x^{- 1 - 1} sin (\frac{1}{x}) - x^{- 1 - 2} cos (\frac{1}{x}))

laplacetransform 2t+3

l a pl a ce t r an s f or m 2 t + 3

fläche y=sqrt(x),y=x^2

a re a y = x, y = x^{2}