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Nikitich [7]
3 years ago
15

If

=" g(x)=\frac{1}{x} " align="absmiddle" class="latex-formula"> and h is a nonzero real number, then \frac{g(x+h)-g(x)}{h}=
Mathematics
1 answer:
Ksju [112]3 years ago
4 0

Fill in the given values and simplify.

\dfrac{g(x+h)-g(x)}{h}=\dfrac{\dfrac{1}{x+h}-\dfrac{1}{x}}{h}\\\\=\dfrac{x-(x+h)}{h\cdot x(x+h)}\\\\=\dfrac{-1}{x(x+h)}

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