Question

Use a linear approximation of f(x)=^3√x at x=8 to approximate ^3√7.

Express your answer as an exact fraction.

Answer 1

what are you using this symbol ^ for?

Answer 2

its cubed

Answer 3

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