What is (\partial)/(\partial y)(e^xy^2) ?

The answer to (\partial)/(\partial y)(e^xy^2) is 2e^xy

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(\partial)/(\partial y)(e^xy^2)

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

2 e^{x} y

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= e^{x} \cdot 2 y^{2 - 1}

Simplify

= 2 e^{x} y

\frac{d}{d x} (tan (x) - 1)

(2.4) (0.8)

\frac{d r}{d t} = \frac{sec ^{2} ( t )}{tan ( t ) + 1}

\int (\frac{9}{x} + \frac{6}{x ^{4}}) d x

(\frac{1}{x - 2})^{^{'}}

What is (\partial)/(\partial y)(e^xy^2) ?
The answer to (\partial)/(\partial y)(e^xy^2) is 2e^xy