What is (\partial)/(\partial x)(e^xcos(θ)) ?

The answer to (\partial)/(\partial x)(e^xcos(θ)) is cos(θ)e^x

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(\partial)/(\partial x)(e^xcos(θ))

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

cos (θ) e^{x}

Solution steps

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

Treat

θ

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= cos (θ) e^{x}

What is (\partial)/(\partial x)(e^xcos(θ)) ?
The answer to (\partial)/(\partial x)(e^xcos(θ)) is cos(θ)e^x