f(x) = x^(3/4)
df = 3/4 x^(-1/4) dx
so, if we let x=27 and dx = -0.02,
df = (3/4) 27^(-1/4) (-.02) = -.00658
So, f(26.98) ≈ f(27) - .00658
= 11.84467 - 0.00658 = 11.83809
f(26.98) is really 11.838085
Using a linear approximation or differentials, approximate:(26.98)^(3/4)
thank you for your help!
1 answer