What is (\partial)/(\partial x)(ye^{6x}) ?

The answer to (\partial)/(\partial x)(ye^{6x}) is ye^{6x}*6

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(\partial)/(\partial x)(ye^{6x})

\frac{\partial}{\partial x} (y e^{6 x})

y e^{6 x} \cdot 6

Solution steps

\frac{\partial}{\partial x} (y e^{6 x})

Treat

y

as a constant

Take the constant out:

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

= y \frac{\partial}{\partial x} (e^{6 x})

Apply the chain rule:

e^{6 x} \frac{\partial}{\partial x} (6 x)

= e^{6 x} \frac{\partial}{\partial x} (6 x)

\frac{\partial}{\partial x} (6 x) = 6

= y e^{6 x} \cdot 6

What is (\partial)/(\partial x)(ye^{6x}) ?
The answer to (\partial)/(\partial x)(ye^{6x}) is ye^{6x}*6