Use Logarithmic Differentiation to Find the Derivative of Y $$y = \sqrt { x ( x + 3 ) }$$

question 380

Multiple Choice

Use logarithmic differentiation to find the derivative of y.
- $$y = \sqrt { x ( x + 3 ) }$$

• A) \(\left( \frac { 1 } { 2 } \right) \left( \frac { 1 } { x } + \frac { 1 } { x + 3 } \right)\)
• B) \(\left( \frac { \sqrt { x ( x + 3 ) } } { 2 } \right) \left( \frac { 1 } { x } + \frac { 1 } { x + 3 } \right)\)
• C) \(\left( \frac { \ln x + \ln ( x + 3 ) } { 2 } \right)\)
• D) \(\sqrt { x ( x + 3 ) } ( 2 x + 3 )\)

Recognize the five supertraits as the basic structure of personality.

Distinguish between different types of personality disorders based on symptomatology.

Comprehend the concept of personality traits as enduring behavioral consistencies.

Analyze psychodynamic perspectives on the defense mechanisms in personality disorders.

---

Definitions:

Cataracts

A medical condition where the lens of the eye becomes progressively opaque, leading to vision impairment.

Bottom-up Processing

An approach to information processing that starts with the sensory input and builds up to the final perception.

Sensory Adaptation

Diminished sensitivity as a consequence of constant stimulation.

Sensory Receptors

Specialized cells or neuronal structures that respond to specific types of external stimuli, such as light, sound, pressure, or chemicals, sending signals to the brain.