What is (\partial)/(\partial x)(7ye^{8x}) ?

The answer to (\partial)/(\partial x)(7ye^{8x}) is 56e^{8x}y

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(\partial)/(\partial x)(7ye^{8x})

\frac{\partial}{\partial x} (7 y e^{8 x})

56 e^{8 x} y

Solution steps

\frac{\partial}{\partial x} (7 y e^{8 x})

Treat

y

as a constant

Take the constant out:

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

= 7 y \frac{\partial}{\partial x} (e^{8 x})

Apply the chain rule:

e^{8 x} \frac{\partial}{\partial x} (8 x)

= e^{8 x} \frac{\partial}{\partial x} (8 x)

\frac{\partial}{\partial x} (8 x) = 8

= 7 y e^{8 x} \cdot 8

Simplify

= 56 e^{8 x} y

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What is (\partial)/(\partial x)(7ye^{8x}) ?
The answer to (\partial)/(\partial x)(7ye^{8x}) is 56e^{8x}y