d/(dy)(ye^x)

Solution

\frac{d}{d y} (y e^{x})

e^{x}

Solution steps

\frac{d}{d y} (y e^{x})

Treat

x

as a constant

Take the constant out:

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

= e^{x} \frac{d y}{d y}

Apply the common derivative:

\frac{d y}{d y} = 1

= e^{x} \cdot 1

Simplify

= e^{x}

x \to - \infty lim (x^{- 2})

\frac{d}{d x} (\frac{8 x}{9 - cot ( x )})

x^{2} y^{^{''}} + 7 x y^{^{'}} + 8 y = 0, y (1) = 0, y^{^{'}} (1) = - 5

\frac{\partial}{\partial y} (ln (2 x + 3 y))

\frac{d}{d x} (\frac{x ^{3}}{2} + \frac{1}{6 x})