Posted by Matt on .
Suppose that a function f(125)=52 and f'(125)=4. Estimate f(123.5)

Calc 
MathMate,
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.)