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L'Hospital's Rule
Assume that we have one of the given cases,
where a is any real number, infinity or negative infinity. In these cases we have,
Therefore, L'Hospital's Rule describes us that if we contain an indeterminate form 0/0 or ∞ ∞ all we require to do is differentiate the numerator & differentiate the denominator and then take the limit.
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Fermat's Theorem : If f ( x ) contain a relative extrema at x = c & f ′ (c ) exists then x = c is a critical point of f ( x ) . Actually, it will be a critical point such that f
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