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

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

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(\partial)/(\partial x)(ye^{x^2})

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

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

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the chain rule:

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

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

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

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

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