What is (\partial)/(\partial y)(xe^{2yx}) ?

The answer to (\partial)/(\partial y)(xe^{2yx}) is 2e^{2xy}x^2

Popular >

(\partial)/(\partial y)(xe^{2yx})

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

2 e^{2 x y} x^{2}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the chain rule:

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

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

\frac{\partial}{\partial y} (2 y x) = 2 x

= x e^{2 y x} \cdot 2 x

Simplify

x e^{2 y x} \cdot 2 x : 2 e^{2 x y} x^{2}

= 2 e^{2 x y} x^{2}

\frac{\partial}{\partial y} (2 + x ln (x y - 5))

\int \frac{1}{x ^{2} - 8 x - 12} d x

y^{^{''}} + 2 y^{^{'}} + y = x^{- 6} e^{- x}

\int \frac{x + 2}{x ^{2} + 3 x - 4} d x

\frac{\partial}{\partial x} (\frac{4}{36 - x ^{2}})

What is (\partial)/(\partial y)(xe^{2yx}) ?
The answer to (\partial)/(\partial y)(xe^{2yx}) is 2e^{2xy}x^2