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

f (x) = \frac{( x ^{2} )}{( 4 + x )}

\int_{1}^{4} t^{2} ln (4 t) d t

y^{^{'}} + 6 y = t + e^{- 4 t}

\int \frac{x ^{4} + 1}{x ( x ^{2} + 1 ) ^{2}} d x

\frac{\partial}{\partial x} (2 x (x^{2} + 1)^{- 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