Question

If f(3)=8 and f'(3)=-4, then how do you use linear approximation to estimate f(3.02)?

Answer 1

f(3.02) =f(3+0.02) = f(3) +f'(3) *0.02

=8+(-4)*0.02=7.92

$f(x + Δx) = f(x) + f'(x)\times Δx$