# PLEASE ANSWER MY QUESTION IN STEPS. THIS IS A ONE QUESTION NOT MULTPLES. PLEASE SHOW WORK : dy :) For f(x) = 8xÂ², find using

PLEASE ANSWER MY QUESTION IN STEPS. THIS IS A ONE QUESTION NOT MULTPLES. PLEASE SHOW WORK : dy
ðŸ™‚ For f(x) = 8xÂ²,
find
using the definition,
dx
dy
Ð”Ñƒ
f(x + Ax) â€“ f(x)
lim
= lim
Ð”Ñ…-0 Ð”Ñ…
dx
Axâ†’0
Ax
(a) First, evaluate Ay = f(x + Ax) â€“ f(x) and express it in the form Ay = L(x, Ax) Â· Ax. Use dx to represent Ax.
Ay =
Ax
dy
dx
(b) Using the L(x, Ax) Ax above, find the simplified derivative
Ð”Ñƒ
lim
Ð”Ñ…-0 Ð”Ñ…
dy
Ð”Ñƒ
lim
Axâ†’0 Ax
dx

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