Question

Let y=sin(2x). If delta x=0.3 and x=0, use linear approximation to estimate delta y.

I found delta y to be 0.6. What is the percentage error?

Answer 1

del y = f(x + del x) - f(x) = sin(0.6) - sin(0) = 0.56 - 0 = 0.56
^^(by using a calc.)

you got 0.6 by linear approximation.

so percentage error = ((0.6 -0.56()/0.6)*100 = (0.04/0.6)*100 = 6.67%

Answer 2

Thank you @apoorvk !

Answer 3

No worries!