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Beliebt Rechnen >

(\partial)/(\partial x)(x^6+xy^5+7)

Lösung

\frac{\partial}{\partial x} (x^{6} + x y^{5} + 7)

Lösung

6 x^{5} + y^{5}

Schritte zur Lösung

\frac{\partial}{\partial x} (x^{6} + x y^{5} + 7)

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

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

= \frac{\partial}{\partial x} (x^{6}) + \frac{\partial}{\partial x} (x y^{5}) + \frac{\partial}{\partial x} (7)

\frac{\partial}{\partial x} (x^{6}) = 6 x^{5}

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

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

= 6 x^{5} + y^{5} + 0

Vereinfache

= 6 x^{5} + y^{5}

Beliebte Beispiele

integral of (cos(x)+xcos(y)-y)

\int (cos (x) + x cos (y) - y) d y

(6 + x) y^{^{'}} = 7 y

integral of 3/(18+2t^2)

\int \frac{3}{18 + 2 t ^{2}} d t

derivative of cos(ti)

\frac{d}{d x} (cos (t) i)

limit as x approaches 1 of 30

x \to 1 lim (30)