Posted by lisa on Saturday, March 9, 2013 at 2:42pm.
Use a linear approximation of f(x)=^3√x at x=8 to approximate ^3√7.
Express your answer as an exact fraction.

calculus  bobpursley, Saturday, March 9, 2013 at 2:50pm
what are you using this symbol ^ for?

calculus  lisa, Saturday, March 9, 2013 at 2:53pm
its cubed

calculus  bobpursley, Saturday, March 9, 2013 at 3:00pm
do you meant the f(x)=cubrtx ?
then f'= 1/ 3(cubrtx)^2
f(7)=f(8)f'(1)=cubrt81/3(cubrt1)2
= 21/3=1 2/3=5/3