What is (\partial)/(\partial x)(-5ye^x) ?

The answer to (\partial)/(\partial x)(-5ye^x) is -5ye^x

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(\partial)/(\partial x)(-5ye^x)

\frac{\partial}{\partial x} (- 5 y e^{x})

- 5 y e^{x}

Solution steps

\frac{\partial}{\partial x} (- 5 y e^{x})

Treat

y

as a constant

Take the constant out:

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

= - 5 y \frac{\partial}{\partial x} (e^{x})

Apply the common derivative:

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

= - 5 y e^{x}

What is (\partial)/(\partial x)(-5ye^x) ?
The answer to (\partial)/(\partial x)(-5ye^x) is -5ye^x