What is (\partial)/(\partial y)(xe^{3y}) ?

The answer to (\partial)/(\partial y)(xe^{3y}) is xe^{3y}*3

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(\partial)/(\partial y)(xe^{3y})

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

x e^{3 y} \cdot 3

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

= x \frac{\partial}{\partial y} (e^{3 y})

Apply the chain rule:

e^{3 y} \frac{\partial}{\partial y} (3 y)

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

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

= x e^{3 y} \cdot 3

\frac{\partial}{\partial x} (\frac{4 x - 3 y}{4 x + 3 y})

f (x) = - 16 t^{2} - 8 t + 64

(x^{2} - 3) (x^{3} - 2 x)

\int_{0}^{\frac{π}{4}} (cos (2 x)) d x

y^{^{''}} + 2 y^{^{'}} + 5 y = - 2 t + 4 t^{2}

What is (\partial)/(\partial y)(xe^{3y}) ?
The answer to (\partial)/(\partial y)(xe^{3y}) is xe^{3y}*3