Posted by Matt on Saturday, January 29, 2011 at 10:05pm.
Suppose that a function f(125)=52 and f'(125)=4. Estimate f(123.5)

Calc  MathMate, Saturday, January 29, 2011 at 10:16pm
If f(x0)=y0, and f'(x0)=y', then an approximation to f(x0+h)=f(x0)+h*y'
Thus,
x0=125,
h=1.5
f(x0)=52
y'=4
f(123.5)
=f(1251.5)
=f(125)+(1.5)(4)
=521.5*4
=46 (approx.)
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