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(xδ)/(2*δ)
δ can be a small number such as 0.1, 0.01,0.001,etc.
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