What is the Limit definition of derivative of a function at a point?
Emma Aldridgeor
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Cameron AlexanderThe limit definition of the derivative of a function ( f(x) ) at a point ( x = a ) is given by:
[ f'(a) = \lim_{h \to 0} \frac{f(a + h) - f(a)}{h} ]
Where ( f'(a) ) represents the derivative of ( f(x) ) at the point ( x = a ).
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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