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Beliebt Rechnen >

(\partial)/(\partial x)(5x^2-2y)

Lösung

\frac{\partial}{\partial x} (5 x^{2} - 2 y)

Lösung

10 x

Schritte zur Lösung

\frac{\partial}{\partial x} (5 x^{2} - 2 y)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (5 x^{2}) - \frac{\partial}{\partial x} (2 y)

\frac{\partial}{\partial x} (5 x^{2}) = 10 x

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

= 10 x - 0

Vereinfache

= 10 x

Beliebte Beispiele

integral of (x^{3/2}+8x+9)

\int (x^{\frac{3}{2}} + 8 x + 9) d x

tangent f(x)=-3x^2+6x+4,\at x=1

t an g e n t f (x) = - 3 x^{2} + 6 x + 4, at x = 1

limit as x approaches 0 of (ln(x+2))/x

x \to 0 lim (\frac{ln ( x + 2 )}{x})

(dy)/(dx)= y/(y-x)

\frac{d y}{d x} = \frac{y}{y - x}

fläche y=x^2,y=9

a re a y = x^{2}, y = 9