### Home > CALC > Chapter 3 > Lesson 3.4.3 > Problem 3-176

3-176.

These are both Hana's definition of the derivative. Instead of algrabraically finding these limits (as you did in 3-175), you could deconstruct her definition and apply the power rule.

Hana's definition of the derivative:

What if *f*(*x*)? *f*(*x*) = *x*^{5}

What if *f* '(*x*)? *f* '(*x*) = 5*x*^{4}

Hana's definition of the derivative:

What if *f*(*x*)? *f*(*x*) = ___________

What if *f* '(*x*)? *f* '(*x*) = ___________