Let f(x)=3/x. If the rate of change of f at x = c is three times its rate of change at x = 2, then c = ?
f(x) = 3/x
f'(x) = -3/x^2
So, we want
-3/c^2 = 3(-3/4)
c^2 = 4/3
...
f'(x) = -3/x^2
So, we want
-3/c^2 = 3(-3/4)
c^2 = 4/3
...