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Complex Numbers

Differentiate...

Question

Differentiate function $f (x) = 1 - 2^{- x}$ .

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Solution

$\begin{matrix} \frac{d}{d x} (1 - 2^{- x}) & = \frac{d}{d x} (1) - \frac{d}{d x} (2^{- x}) = 0 - (- ln (2) \cdot 2^{- x}) = ln (2) \cdot 2^{- x} \end{matrix}$

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