Hello, millerst!

This is a test of your algebraic ability and stamina.

I'll do the first one (it's harder).

Definition of derivative: .Find the derivative of the function using the definition of derivative.

. .

My recommendation: divide the procedure into four steps:

. . [1] Find . . . replace with ... and simplify.

. . [2] Subtract . . . subtract the original function ... and simplify.

. . [3] Divide by . . .factor and simplify.

. . [4] Take the limit as

Here we go . . .

[1] Find

[2] Subtract

. . .

. . . . .

. . . . .

. . . . .

[3] Divide by

[4] Take the limit:

. .

Therefore: .

I need a nap . . .

.