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

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

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

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

e^{y^{2}}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial x} (x) = 1

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

Simplify

= e^{y^{2}}

(2 t^{2} + 1)^{^{'}}

\frac{d}{d x} (14 e^{x})

\int arccot (3 x) d x

y^{^{''}} - 2 y^{^{'}} + y = 12 e^{3 t}

y^{^{'}} + y = 6

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