What is (\partial)/(\partial y)(x^2e^{2y}) ?

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

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

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

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

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

\int x (2 x^{2} - 1)^{2} d x

x \to 4 - lim (\frac{2 x}{16 - x ^{2}})

\int_{0}^{3} x^{7} e^{x^{4}} d x

\int_{4}^{9} \frac{x}{x - 36} d x

f^{^{'}} (x) = x^{2} + 1

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