What is (\partial)/(\partial x)(-e^{-2t}sin(x)) ?

The answer to (\partial)/(\partial x)(-e^{-2t}sin(x)) is -e^{-2t}cos(x)

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(\partial)/(\partial x)(-e^{-2t}sin(x))

\frac{\partial}{\partial x} (- e^{- 2 t} sin (x))

- e^{- 2 t} cos (x)

Solution steps

\frac{\partial}{\partial x} (- e^{- 2 t} sin (x))

Treat

t

as a constant

Take the constant out:

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

= - e^{- 2 t} \frac{\partial}{\partial x} (sin (x))

Apply the common derivative:

\frac{\partial}{\partial x} (sin (x)) = cos (x)

= - e^{- 2 t} cos (x)

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What is (\partial)/(\partial x)(-e^{-2t}sin(x)) ?
The answer to (\partial)/(\partial x)(-e^{-2t}sin(x)) is -e^{-2t}cos(x)