Differentiation (Single-Variable Calculus)
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Using differentiation from first principles, find \(f\,\text{prime}(x)\) for \(f(x)=\dfrac{1}{x}\), and hence evaluate \(f\,\text{prime}(2)\).
Select one option.
A
\(\dfrac14\)
B
\(-\dfrac12\)
C
\(-\dfrac14\)
D
\(\dfrac12\)
E
\(-1\)
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