Find the Derivative of the Function at the Given Value $$f ( x ) = x ^ { 3 } + 4 x ; x = - 2$$

question 83

Multiple Choice

Find the derivative of the function at the given value of x.
- $$f ( x ) = x ^ { 3 } + 4 x ; x = - 2$$

• A) \(- 2\)
• B) 4
• C) 16
• D) 12

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Definitions:

Function

A pairing between a selection of inputs and a conglomeration of permissible outputs, where the rule is that each input is directly linked to a unique output.

Logarithm

This refers to the exponent that indicates the power to which a base number is raised to obtain a specific number. It's an inverse operation to exponentiation in mathematics.

Vertical Asymptote

A line that a graph approaches but never touches, typically representing values that are not included in the domain of a function.

Domain

The set of all possible input values (x-values) for a given function, over which the function is defined.