### Home > CALC > Chapter 3 > Lesson 3.4.1 > Problem3-150

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.

Hana's Definition of derivative:

Substitute:

Expand the numerator and combine like terms.

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

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