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Beliebt Rechnen >

(\partial)/(\partial y)(tan(xy))

Lösung

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

Lösung

sec^{2} (x y) x

Schritte zur Lösung

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

Behandle

x

als Konstante

Wende die Kettenregel an:

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

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

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

= sec^{2} (x y) x

Beliebte Beispiele

integral of (2ti+j+k)

\int (2 t i + j + k) d t

integral of 5sin(3x)

\int 5 sin (3 x) d x

derivative y=log_{3}(5x^4)

d er i v a t i v e y = lo g_{3} (5 x^{4})

implicit 2x^2+y^2-7=0

im pl i c i t 2 x^{2} + y^{2} - 7 = 0

limit as x approaches 1 of (x-x^3)/(x-1)

x \to 1 lim (\frac{x - x ^{3}}{x - 1})