Question
Differentiate the function: $3^{ x -5}$

Answer

We have, 
$\frac{d}{d x} x^n=n x^{n-1}$
Therefore, 
$\frac{d}{d x} 3 x^{-5}=3(-5) x^{-5-1}$
$=-15 x^{-6}$

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