What is the derivative of-4+e^{1/(2-x}) ?

The derivative of-4+e^{1/(2-x}) is (e^{1/(-x+2)})/((-x+2)^2)

What is the first derivative of-4+e^{1/(2-x}) ?

The first derivative of-4+e^{1/(2-x}) is (e^{1/(-x+2)})/((-x+2)^2)

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

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

Solution steps

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

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (4) + \frac{d}{d x} (e^{\frac{1}{2 - x}})

\frac{d}{d x} (4) = 0

\frac{d}{d x} (e^{\frac{1}{2 - x}}) = \frac{e ^{\frac{1}{2 - x}}}{( 2 - x ) ^{2}}

= - 0 + \frac{e ^{\frac{1}{2 - x}}}{( 2 - x ) ^{2}}

Simplify

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

What is the derivative of-4+e^{1/(2-x}) ?
The derivative of-4+e^{1/(2-x}) is (e^{1/(-x+2)})/((-x+2)^2)
What is the first derivative of-4+e^{1/(2-x}) ?
The first derivative of-4+e^{1/(2-x}) is (e^{1/(-x+2)})/((-x+2)^2)