How do you use the limit definition of the derivative to find the derivative of f(x)=1/x?
1 answer:
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We know that x > 2 ( or : x ≠ +/- 2 )
We have to factorize the numerator and the denominator:
x² - x - 6 = x² - 3 x + 2 x - 6 = x ( x - 3 ) + 2 ( x - 3 ) = ( x - 3 ) ( x + 2 )
x ² - 4 = ( x - 2 ) ( x + 2 )
We have to factorize the numerator and the denominator:
x² - x - 6 = x² - 3 x + 2 x - 6 = x ( x - 3 ) + 2 ( x - 3 ) = ( x - 3 ) ( x + 2 )
x ² - 4 = ( x - 2 ) ( x + 2 )
Fraction adding: Okay, so if you have two fractions with the same denominator like 2/3 and 1/3 then they are easily added. Just add the numerators together and then keep the denominator. Like this: 2/3 + 1/3 = 3/3 or 1 whole. Here is something for fractions with unlike denominators.
