Asked by Sarah
Use the alternate definition, lim x->a f(x)-f(a)/x-a, to determine the instantaneous rate of change of f(x)= 1/x at the point (1,1/5)
a)1/5
b)-1/5
c)1/25
d)-1/25
a)1/5
b)-1/5
c)1/25
d)-1/25
Answers
Answered by
Steve
just apply the definition. What's the problem?
f(x) = 1/x
f(a) = 1/a
f(x)-f(a) = (a-x)/(ax)
Now divide that by x-a and you have -1/(ax)
the limit as x->a is -1/x^2
So, fix your typo and adjust the evaluation.
(1,1/5) is not on the curve for 1/x.
f(x) = 1/x
f(a) = 1/a
f(x)-f(a) = (a-x)/(ax)
Now divide that by x-a and you have -1/(ax)
the limit as x->a is -1/x^2
So, fix your typo and adjust the evaluation.
(1,1/5) is not on the curve for 1/x.
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