Find $\frac { d y } { d x }$ ,
(A)

question 173

Essay

Find $\frac { d y } { d x }$ ,
(a) $y = \sqrt { x ^ { 2 } - 5 x }$ (b) $y = \frac { \sin \left( x e ^ { x } \right) } { x ^ { 3 } + x }$ (c) $y = x ^ { 2 } \cdot e ^ { \sqrt { x } }$ (d) $y = e ^ { \sqrt { x ^ { 2 } + 1 } }$

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Definitions:

Distress

Extreme anxiety, sorrow, or pain, often affecting a person’s mental or physical health.

Abnormal

Deviating from what is considered normal or typical, often in reference to behavior or physical conditions.

Danger To Self

A situation or state in which an individual poses a significant risk of harm to their own health, life, or well-being.

Abnormal Functioning

Patterns of behaviors, thoughts, or emotions considered to deviate significantly from societal norms or expectations, often causing distress or disability.