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Beliebt Rechnen >

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

Lösung

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

Lösung

8 x

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (4 x^{2}) = 8 x

\frac{\partial}{\partial x} (3 y^{4}) = 0

= 8 x + 0

Vereinfache

= 8 x

Beliebte Beispiele

limit as x approaches 1-of 1/x-1

x \to 1 - lim (\frac{1}{x} - 1)

y^{''}+9y=3sec(3t)

y^{^{''}} + 9 y = 3 sec (3 t)

f(x)=cos(x^2)*2x

f (x) = cos (x^{2}) \cdot 2 x

fläche y=x+1,y=9-x^2,x=-1,x=2

a re a y = x + 1, y = 9 - x^{2}, x = - 1, x = 2

integral of (sin^4(x)cos^2(x))

\int (sin^{4} (x) cos^{2} (x)) d x