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Estimate f′(−3) where f(x) = x^3 + 8x^2 − 10x − 1 to within one decimal place by using a small enough interval.
f′(−3) ≈

  • math -

    It is an estimation. You can use the first order approximations such as
    f'(x) = (f(x+δ)-f(x))/δ

    or a symmetrical formula, such as
    (f(x+δ)-f(x-δ)/(2*δ)

    δ can be a small number such as 0.1, 0.01,0.001,etc.

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