Posted by **Anna** on Friday, October 1, 2010 at 12:42am.

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 -
**MathMate**, Friday, October 1, 2010 at 12:06pm
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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