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Let Let   .  A) Find   and   , if they exist.  B) Use the definition of differentiability at a point to determine whether   is differentiable at the origin. .
A) Find Let   .  A) Find   and   , if they exist.  B) Use the definition of differentiability at a point to determine whether   is differentiable at the origin. and Let   .  A) Find   and   , if they exist.  B) Use the definition of differentiability at a point to determine whether   is differentiable at the origin. , if they exist.
B) Use the definition of differentiability at a point to determine whether Let   .  A) Find   and   , if they exist.  B) Use the definition of differentiability at a point to determine whether   is differentiable at the origin. is differentiable at the origin.


Definitions:

Objective

An aim or goal that is sought after, often characterized by being measurable and independent of personal feelings or prejudices.

Verifiable

Capable of being proven true or confirmed through evidence or testimony.

B Data

Behavioural data gathered from direct observation rather than self-report, used in psychology to assess personality.

L Data

Life-record data in personality research, referring to verifiable, real-world outcomes and behaviors that are used to measure personality.

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