(\partial)/(\partial y)(e^{2x}sin(y))

解答

\frac{\partial}{\partial y} (e^{2 x} sin (y))

e^{2 x} cos (y)

求解步骤

\frac{\partial}{\partial y} (e^{2 x} sin (y))

将

x

视为常数

将常数提出:

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

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

使用常见微分定则:

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

= e^{2 x} cos (y)

d er i v a t i v e f (x) = \frac{4}{( x ^{2} + 1 ) ^{2}}

\frac{d}{d x} (6 x - 9)

y^{^{'''}} - 9 y^{^{''}} + 20 y^{^{'}} = 0

\frac{d}{d x} (\frac{x}{x ^{2} + 36})

\frac{\partial}{\partial x} (x^{3} - 3 x y)