[Linear Approximations and Differentials]

Question

I tripled checked my work but I'm still not getting the correct answer.

y=3x^2 x=3 & delta x =0.2

I get 3(3.2)^2 - 3(3) = 21.72

Answer 1

Let Δx = 0.2,
Δy
=3(3.2)² - 3(3)²
=30.72-27
=3.72
Δy/Δx
=3.72/0.2
=18.6
Theoretical value
dy/dx = 6x = 18.

Answer 2

Oh I'm missing the last ^2 at the end. Thanks!

Answer 3

You're welcome!