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Beliebt Rechnen >

(\partial)/(\partial y)(cos(12x)sin(3y))

Lösung

\frac{\partial}{\partial y} (cos (12 x) sin (3 y))

Lösung

cos (12 x) cos (3 y) \cdot 3

Schritte zur Lösung

\frac{\partial}{\partial y} (cos (12 x) sin (3 y))

Behandle

x

als Konstante

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= cos (12 x) \frac{\partial}{\partial y} (sin (3 y))

Wende die Kettenregel an:

cos (3 y) \frac{\partial}{\partial y} (3 y)

= cos (3 y) \frac{\partial}{\partial y} (3 y)

\frac{\partial}{\partial y} (3 y) = 3

= cos (12 x) cos (3 y) \cdot 3

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integral of 1/(sqrt(9-y^2))

\int \frac{1}{9 - y ^{2}} d y

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in v erse l a pl a ce \frac{1}{( z ^{2} + 1 ) ^{2}}

(dy)/(dx)=(2y^4+x^4)/(xy^3)

\frac{d y}{d x} = \frac{2 y ^{4} + x ^{4}}{x y ^{3}}

derivative of (4x^2/((7-5x)^3))

\frac{d}{d x} (\frac{4 x ^{2}}{( 7 - 5 x ) ^{3}})

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