Use a linear approximation of f(x)=^3√x at x=8 to approximate ^3√7.
Express your answer as an exact fraction.
3 answers
what are you using this symbol ^ for?
its cubed
do you meant the f(x)=cubrtx ?
then f'= 1/ 3(cubrtx)^2
f(7)=f(8)-f'(1)=cubrt8-1/3(cubrt1)2
= 2-1/3=1 2/3=5/3
then f'= 1/ 3(cubrtx)^2
f(7)=f(8)-f'(1)=cubrt8-1/3(cubrt1)2
= 2-1/3=1 2/3=5/3