(\partial)/(\partial x)((2x+7y)^{11})

Lösung

\frac{\partial}{\partial x} ((2 x + 7 y)^{11})

22 (2 x + 7 y)^{10}

Schritte zur Lösung

\frac{\partial}{\partial x} ((2 x + 7 y)^{11})

Behandle

y

als Konstante

Wende die Kettenregel an:

11 (2 x + 7 y)^{10} \frac{\partial}{\partial x} (2 x + 7 y)

= 11 (2 x + 7 y)^{10} \frac{\partial}{\partial x} (2 x + 7 y)

\frac{\partial}{\partial x} (2 x + 7 y) = 2

= 11 (2 x + 7 y)^{10} \cdot 2

Vereinfache

= 22 (2 x + 7 y)^{10}

\int cos^{2} (\frac{nπ x}{L}) d x

\int 4 x^{3} + 3 x^{4} d x

t an g e n t (x + 2)^{2} + (y - 3)^{2} = 37, (- 3, 9)

d er i v a t i v e y = x^{2} + 9

\frac{d ^{2} y}{d x ^{2}} - 2 \frac{d y}{d x} + y = \frac{e ^{x}}{1 + x ^{2}}