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1. Homework Statement [/b]

find from the first principles the derivitive of f(x) = [itex]\frac{1}{1 - x}[/itex]

f'(a) = [itex]\frac{f(a+h) - f(a)}{h}[/itex]

f'(x) = [itex]\frac{\frac{1}{1-(x+h)} - \frac{1}{1-x}}{h}[/itex]

f'(x) = [itex]\frac{(1-x) - (1-(x+h))}{h(1-x)(1-(x+h))}[/itex]

but I'm unsure where to go from here

find from the first principles the derivitive of f(x) = [itex]\frac{1}{1 - x}[/itex]

## Homework Equations

f'(a) = [itex]\frac{f(a+h) - f(a)}{h}[/itex]

## The Attempt at a Solution

f'(x) = [itex]\frac{\frac{1}{1-(x+h)} - \frac{1}{1-x}}{h}[/itex]

f'(x) = [itex]\frac{(1-x) - (1-(x+h))}{h(1-x)(1-(x+h))}[/itex]

but I'm unsure where to go from here

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