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Beliebt Rechnen >

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

Lösung

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

Lösung

- 2 y x

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 0 - 2 y x

Vereinfache

= - 2 y x

Beliebte Beispiele

derivative f(x)=(14x+4x^2)/((7+4x)^2)

d er i v a t i v e f (x) = \frac{14 x + 4 x ^{2}}{( 7 + 4 x ) ^{2}}

(\partial)/(\partial x)(-2kl(ln(y/(-x-y))))

\frac{\partial}{\partial x} (- 2 k l (ln (\frac{y}{- x - y})))

integral of 1/(6-sqrt(x))

\int \frac{1}{6 - x} d x

derivative g(x)=sqrt(2x-3)

d er i v a t i v e g (x) = 2 x - 3

integral of 14θsec^2(θ)

\int 14 θ sec^{2} (θ) d θ