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Home > CALC > Chapter 3 > Lesson 3.3.2 > Problem 3-110

  1. Evaluate each limit. If the limit does not exist, say so but also state if y is approaching positive or negative infinity. Homework Help ✎

    1. Which problems above can be interpreted as the definition of the derivative at a point?

Simply evaluate at x = 0.

You can multiply the top and bottom by the conjugate:

You might have noticed that this is Ana's definition of the derivative:

Rewrite the given limit as:

Deconstruct the definition:

Write the derivative equation:

Evaluate at x = 1:

a = 1

This is Hana's definition of the derivative.

a = 25

Find f '(x) and f '(25).

Refer to the hint in part (a).

Refer to the previous hints.