Question

Approximate Δ y using differentials for y = x2 – 4x at x = 6 when Δ x= dx = 0.03. Okay, what does Δ mean?

Answer 1

The greek letter "delta", in mathematics and many sciences, it is used to express a change in a variable. In this case, the change in y, and the change in x.

Answer 2

so does it mean the change in x when or change in y when you take the differential?

Answer 3

does it want me to plug 6 into the un-differentiated problem and then again in the derivatives?

Answer 4

\[
\Delta y\approx dy=y'dx
\]

Answer 5

In this case \(\Delta x=dx\)

Answer 6

ah okay. thats given so its just derivative multiplied by that given value

Answer 7

\(dy\) is a linear approximation in the change of \(y\).

Answer 8

Whereas \(\Delta y\) is the exact change of \(y\).