Find f'(x) and state the domain of f':
f(x) = In (2x^2+1)

Domain: All Real Numbers

General Formulas and Concepts:

Algebra I

Calculus

The derivative of a constant is equal to 0

Basic Power Rule:

Chain Rule:

Derivative:

Step-by-step explanation:

Step 1: Define

f(x) = ln(2x² + 1)

Step 2: Differentiate

Step 3: Domain

We know that we would have issues in the denominator when we have a rational expression. However, we can see that the denominator would never equal 0.

Therefore, our domain would be all real numbers.

We can also graph the differential function to analyze the domain.

answer: the value of x is 7cm

step-by-step explanation:

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