Determine If the Piecewise Defined Function Is Differentiable at the Origin

question 530

Multiple Choice

Determine if the piecewise defined function is differentiable at the origin.
- $$g ( x ) = \left\{ \begin{array} { l l } x ^ { 7 / 8 } & \text { if } x \geq 0 \\x ^ { 1 / 8 } & \text { if } x < 0\end{array} \right.$$

• A) Not d ifferentiable
• B) Differentiable

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Definitions:

Planning Component

An essential part of the planning process that includes defining objectives, strategies, and actions to achieve goals.

Interim Reviews

Evaluations or assessments conducted at specific intervals during a project or process, before its completion.

Performance Evaluation

The formal assessment of an individual's work performance, often used to determine promotions, salary adjustments, and development needs.

Management by Objectives

A management strategy in which employees and managers collaborate to set, monitor, and achieve specific objectives within an organization, aligning individual performance with organizational goals.