Asked by krista
PLEASE HELP! Compute the difference quotient: [(f(x)- f(a))/(x-a)]..
for f(x)= (-1/x^2)
for f(x)= (-1/x^2)
Answers
Answered by
Damon
[-1/x^2 +1/a^2] / (x-a)
[ x^2 - a^2 ]/ [x^2 a^2 (x-a)]
[(x+a)(x-a)] / [x^2 a^2 (x-a)]
(x+a)/x^2a^2
note for when you get to differentiation the limit of this as x-->a is
2x/x^4 = 2/x^3
[ x^2 - a^2 ]/ [x^2 a^2 (x-a)]
[(x+a)(x-a)] / [x^2 a^2 (x-a)]
(x+a)/x^2a^2
note for when you get to differentiation the limit of this as x-->a is
2x/x^4 = 2/x^3
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