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Beliebt Rechnen >

(\partial)/(\partial x)(7-3x^2-3y^2)

Lösung

\frac{\partial}{\partial x} (7 - 3 x^{2} - 3 y^{2})

Lösung

- 6 x

Schritte zur Lösung

\frac{\partial}{\partial x} (7 - 3 x^{2} - 3 y^{2})

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (7) - \frac{\partial}{\partial x} (3 x^{2}) - \frac{\partial}{\partial x} (3 y^{2})

\frac{\partial}{\partial x} (7) = 0

\frac{\partial}{\partial x} (3 x^{2}) = 6 x

\frac{\partial}{\partial x} (3 y^{2}) = 0

= 0 - 6 x - 0

Vereinfache

= - 6 x

Beliebte Beispiele

steigung (2.4)(6.12)

s l o p e (2.4) (6.12)

limit as x approaches 0+of (x+1)^{inx}

x \to 0 + lim ((x + 1)^{in x})

sum from n=0 to infinity}(5^{2n of)/(n!)

n = 0 \sum \infty \frac{5 ^{2 n}}{n !}

t an g e n t 8 - x^{2}

derivative of (5^x+2/(5^x+1))

\frac{d}{d x} (\frac{5 ^{x} + 2}{5 ^{x} + 1})