CPM Homework Help : CALC Problem 3-150

Use the definition of a derivative to find $y^\prime$ if $y = \frac { 3 } { 4 } x ^ { 2 } - 11 x + 34$ . Confirm your solution with the Power Rule.

Hint:

Hana's Definition of derivative:

Step 1:

Substitute:

Step 2:

Expand the numerator and combine like terms.

Step 3:

Factor an $h$ out of the numerator so you can 'cancel out' the $h$ in the denominator.

Step 4:

Evaluate the limit. You should get the same derivative you found with the Power Rule.