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3-176.
  1. Find the following limits quickly. (Hint: Review your solution for problem 3-92 first!) Homework Help ✎

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) = x5
What if f '(x)? f '(x) = 5x4

Hana's definition of the derivative:

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