What is the derivative of e^{x-5}-x ?

The derivative of e^{x-5}-x is e^{x-5}-1

What is the first derivative of e^{x-5}-x ?

The first derivative of e^{x-5}-x is e^{x-5}-1

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\frac{d}{d x} (e^{x - 5} - x)

e^{x - 5} - 1

Solution steps

\frac{d}{d x} (e^{x - 5} - x)

Apply the Sum/Difference Rule:

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

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

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

\frac{d x}{d x} = 1

= e^{x - 5} - 1

What is the derivative of e^{x-5}-x ?
The derivative of e^{x-5}-x is e^{x-5}-1
What is the first derivative of e^{x-5}-x ?
The first derivative of e^{x-5}-x is e^{x-5}-1