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calculus

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

Express your answer as an exact fraction.

  • calculus - ,

    what are you using this symbol ^ for?

  • calculus - ,

    its cubed

  • calculus - ,

    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

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