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Beliebt Rechnen >

(\partial)/(\partial x)(1/(tan(xy)))

Lösung

\frac{\partial}{\partial x} (\frac{1}{tan ( x y )})

Lösung

- csc^{2} (x y) y

Schritte zur Lösung

\frac{\partial}{\partial x} (\frac{1}{tan ( x y )})

Vereinfache

\frac{1}{tan ( x y )} : cot (x y)

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

Behandle

y

als Konstante

Wende die Kettenregel an:

- csc^{2} (x y) \frac{\partial}{\partial x} (x y)

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

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

= - csc^{2} (x y) y

Beliebte Beispiele

(dy)/(dx)=(x+y+2)^2

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

(\partial)/(\partial x)(e^{-2x}*cos(2y))

\frac{\partial}{\partial x} (e^{- 2 x} \cdot cos (2 y))

integral of (5x-3)/(x^2-1)

\int \frac{5 x - 3}{x ^{2} - 1} d x

tangent y= 6/(sqrt(x))

t an g e n t y = \frac{6}{x}

integral of 7(sin(x))^4(cos(x))^2

\int 7 (sin (x))^{4} (cos (x))^{2} d x