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Beliebt Rechnen >

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

Lösung

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

Lösung

2 x

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

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

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

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

= 2 x - 0

Vereinfache

= 2 x

Beliebte Beispiele

sum from n=2 to infinity of 1/(n^3+n)

n = 2 \sum \infty \frac{1}{n ^{3} + n}

derivative of ln(3x^2-cos(x))

\frac{d}{d x} (ln (3 x^{2} - cos (x)))

y^'-ytan(x)=sec(x)

y^{^{'}} - y tan (x) = sec (x)

derivative (3x-3)^2(1-5x)^4

d er i v a t i v e (3 x - 3)^{2} (1 - 5 x)^{4}

y^{^{''}} + 2 y + y = 0