What is (\partial)/(\partial y)(3xe^{2xy}) ?

The answer to (\partial)/(\partial y)(3xe^{2xy}) is 6e^{2xy}x^2

Popular >

(\partial)/(\partial y)(3xe^{2xy})

\frac{\partial}{\partial y} (3 x e^{2 x y})

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

Solution steps

\frac{\partial}{\partial y} (3 x e^{2 x y})

Treat

x

as a constant

Take the constant out:

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

= 3 x \frac{\partial}{\partial y} (e^{2 x y})

Apply the chain rule:

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

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

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

= 3 x e^{2 x y} \cdot 2 x

Simplify

3 x e^{2 x y} \cdot 2 x : 6 e^{2 x y} x^{2}

= 6 e^{2 x y} x^{2}

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

\frac{x}{x - 4}

\frac{- 2 x ^{2} + 9}{9 - x ^{2}}

\int_{7}^{8} (\frac{1}{x ^{2}} - 1) d x

(\frac{ln ( x )}{x ^{2}})^{^{'}}

What is (\partial)/(\partial y)(3xe^{2xy}) ?
The answer to (\partial)/(\partial y)(3xe^{2xy}) is 6e^{2xy}x^2