Functions involving delta?

0 ⤊

Functions involving delta?

Evaluate (if possible) the function at the given value(s) of the independent variable. Simplify the results.

f(x) = x^3
(f(x+ delta x) - f(x)) / (delta x)

2007-09-08 04:10:29 · 2 answers · asked by Mike B 1 in Education & Reference ➔ Homework Help

2 answers

[(x+deltax)^3-x^3]/deltax

= [x^3+3x^2deltax+3xdeltax^2
+deltax^3-x^3] / deltax

=[3x^2deltax+3xdeltax^2
+deltax^3]/deltax

=3x^2+3xdeltax+deltax^2

2007-09-08 04:46:12 · answer #1 · answered by Anonymous · 0⤊ 0⤋

3x^2

2007-09-08 11:14:00 · answer #2 · answered by supastremph 6 · 0⤊ 1⤋