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Use the limit definition to find the derivative

Writer Matthew Harrington
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I have no clue how to us the limit definition to find the derivative of the following function:

f(x)=x^2-1

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1 Answer

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Hint:

Use the definition: $$ f'(x)=\lim_{h \to 0}\frac{f(x+h)-f(x)}{h} $$

substituting $$ f(x+h)=(x+h)^2-1=x^2+2hx+h^2-1 $$

can you do from this?

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