Find the Derivative $$y = \frac { 5 } { x } + 4 \sec x$$

question 318

Multiple Choice

Find the derivative.
- $$y = \frac { 5 } { x } + 4 \sec x$$

• A) \(y ^ { \prime } = - \frac { 5 } { x ^ { 2 } } + 4 \tan ^ { 2 } x\)
• B) \(y ^ { \prime } = - \frac { 5 } { x ^ { 2 } } + 4 \sec x \tan x\)
• C) \(y ^ { \prime } = - \frac { 5 } { x ^ { 2 } } - 4 \csc x\)
• D) \(y ^ { \prime } = \frac { 5 } { x ^ { 2 } } - 4 \sec x \tan x\)

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Definitions:

Hippocampus

A region of the brain involved in the formation of new memories and is also associated with learning and emotions.

Conscious Memories

Memories that can be intentionally recalled, reflecting experiences we are aware of.

Limbic System

A complex system of nerves and networks in the brain, involving several areas near the edge of the cortex concerned with instinct and mood. It controls the basic emotions (fear, pleasure, anger) and drives (hunger, sex, dominance, care of offspring).

Forebrain

The anterior part of the brain, including the cerebrum and structures related to it, responsible for complex cognitive, sensory, and motor functions.