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Beliebt Rechnen >

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

Lösung

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

Lösung

1

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

\frac{\partial}{\partial x} (x) = 1

= 0 + 1

Vereinfache

= 1

Beliebte Beispiele

derivative of sin(5)

\frac{d}{d x} (sin (5))

(\partial)/(\partial x)(x^{5y})

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

derivative f(x)= 8/x

d er i v a t i v e f (x) = \frac{8}{x}

derivative of ln(x^4sin^2(x))

\frac{d}{d x} (ln (x^{4} sin^{2} (x)))

(\partial)/(\partial x)(2x^4)

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