What is (\partial)/(\partial t)(e^tcos(x)) ?

The answer to (\partial)/(\partial t)(e^tcos(x)) is cos(x)e^t

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(\partial)/(\partial t)(e^tcos(x))

\frac{\partial}{\partial t} (e^{t} cos (x))

cos (x) e^{t}

Solution steps

\frac{\partial}{\partial t} (e^{t} cos (x))

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= cos (x) e^{t}

What is (\partial)/(\partial t)(e^tcos(x)) ?
The answer to (\partial)/(\partial t)(e^tcos(x)) is cos(x)e^t