What is (\partial)/(\partial x)(5e^{6x}) ?

The answer to (\partial)/(\partial x)(5e^{6x}) is 30e^{6x}

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(\partial)/(\partial x)(5e^{6x})

\frac{\partial}{\partial x} (5 e^{6 x})

30 e^{6 x}

Solution steps

\frac{\partial}{\partial x} (5 e^{6 x})

Take the constant out:

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

= 5 \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

= 5 e^{6 x} \cdot 6

Simplify

= 30 e^{6 x}

What is (\partial)/(\partial x)(5e^{6x}) ?
The answer to (\partial)/(\partial x)(5e^{6x}) is 30e^{6x}