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Beliebt Rechnen >

(\partial)/(\partial y)(tan(2x+y))

Lösung

\frac{\partial}{\partial y} (tan (2 x + y))

Lösung

sec^{2} (2 x + y)

Schritte zur Lösung

\frac{\partial}{\partial y} (tan (2 x + y))

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

\frac{\partial}{\partial y} (2 x + y) = 1

= sec^{2} (2 x + y) \cdot 1

Vereinfache

= sec^{2} (2 x + y)

Beliebte Beispiele

0 = 2 x + 1 - 2 y y^{^{'}}

integral of sqrt(2[1-cos^2(\sqrt{2)x)]}

\int 2 [1 - cos^{2} (2 x)] d x

integral of cos(x)(2+sin(x))^6

\int cos (x) (2 + sin (x))^{6} d x

(dy)/(dt)+ty^2=0

\frac{d y}{d t} + t y^{2} = 0

derivative (4x)/(e^x)

d er i v a t i v e \frac{4 x}{e ^{x}}