f(x) = \ln(2 + x^2) Find f(0) and f'(0).


{eq}f(x) = \ln(2 + x^2) {/eq}

Find f(0) and f'(0).

The Derivative as a Function

If a function is differentiable, we can use a variety of rules and techniques to find a function that models the rate of change, known as the derivative. This can be evaluated at any point to find the instantaneous rate of change.

Answer and Explanation:

In order to find {eq}f(0) {/eq}, we can evaluate our function at {eq}x = 0 {/eq}.

{eq}f(0) = \ln(2 + (0)^2) = \ln 2 {/eq}

In order to evaluate...

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Learn more about this topic:

Using the Chain Rule to Differentiate Complex Functions

from Math 104: Calculus

Chapter 8 / Lesson 6

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