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Beliebt Rechnen >

(\partial)/(\partial x)((4x+7y)^{10})

Lösung

\frac{\partial}{\partial x} ((4 x + 7 y)^{10})

Lösung

40 (4 x + 7 y)^{9}

Schritte zur Lösung

\frac{\partial}{\partial x} ((4 x + 7 y)^{10})

Behandle

y

als Konstante

Wende die Kettenregel an:

10 (4 x + 7 y)^{9} \frac{\partial}{\partial x} (4 x + 7 y)

= 10 (4 x + 7 y)^{9} \frac{\partial}{\partial x} (4 x + 7 y)

\frac{\partial}{\partial x} (4 x + 7 y) = 4

= 10 (4 x + 7 y)^{9} \cdot 4

Vereinfache

= 40 (4 x + 7 y)^{9}

Beliebte Beispiele

integral of x^2+x+2

\int x^{2} + x + 2 d x

integral of (13t^7+t^5)/(t^{3/2)}

\int \frac{13 t ^{7} + t ^{5}}{t ^{\frac{3}{2}}} d t

limit as x approaches 0 of x^{x^2}

x \to 0 lim (x^{x^{2}})

y^{^{'}} + 0.15 y = 1

(2x^2+y)dx+(x^2y-x)dy=0

(2 x^{2} + y) d x + (x^{2} y - x) d y = 0