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Beliebt Rechnen >

(\partial)/(\partial x)((2x+6y)^{11})

Lösung

\frac{\partial}{\partial x} ((2 x + 6 y)^{11})

Lösung

22 (2 x + 6 y)^{10}

Schritte zur Lösung

\frac{\partial}{\partial x} ((2 x + 6 y)^{11})

Behandle

y

als Konstante

Wende die Kettenregel an:

11 (2 x + 6 y)^{10} \frac{\partial}{\partial x} (2 x + 6 y)

= 11 (2 x + 6 y)^{10} \frac{\partial}{\partial x} (2 x + 6 y)

\frac{\partial}{\partial x} (2 x + 6 y) = 2

= 11 (2 x + 6 y)^{10} \cdot 2

Vereinfache

= 22 (2 x + 6 y)^{10}

Beliebte Beispiele

derivative (11x)/((2+x^2))

d er i v a t i v e \frac{11 x}{( 2 + x ^{2} )}

limit as x approaches 2 of (x+1)/(x-1)

x \to 2 lim (\frac{x + 1}{x - 1})

derivative of (x+5x^2^3)

\frac{d}{d x} ((x + 5 x^{2})^{3})

y^'=(y^2)/(x^2)

y^{^{'}} = \frac{y ^{2}}{x ^{2}}

derivative y=arcsin((x+1)/(x-1))

d er i v a t i v e y = arcsin (\frac{x + 1}{x - 1})