What is the derivative of e^{-x}-y ?

The derivative of e^{-x}-y is -e^{-x}-(dy)/(dx)

What is the first derivative of e^{-x}-y ?

The first derivative of e^{-x}-y is -e^{-x}-(dy)/(dx)

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\frac{d}{d x} (e^{- x} - y)

- e^{- x} - \frac{d y}{d x}

Solution steps

\frac{d}{d x} (e^{- x} - y)

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{d}{d x} (e^{- x}) = - e^{- x}

= - e^{- x} - \frac{d y}{d x}

What is the derivative of e^{-x}-y ?
The derivative of e^{-x}-y is -e^{-x}-(dy)/(dx)
What is the first derivative of e^{-x}-y ?
The first derivative of e^{-x}-y is -e^{-x}-(dy)/(dx)