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

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

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

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

y e^{2 x} \cdot 2

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the chain rule:

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

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

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

= y e^{2 x} \cdot 2

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