If $f ( x ) = x ^ { 2 } \cos x , \text { find } f ^ { \prime } ( 0 )$

question 112

Multiple Choice

If $f ( x ) = x ^ { 2 } \cos x , \text { find } f ^ { \prime } ( 0 )$

• A) \(\frac { 1 } { 2 }\)
• B)2
• C)0
• D)1
• E) \(\frac { 1 } { 3 }\)
• F)4
• G) \(\frac { 1 } { 4 }\)
• H)3

---

Definitions:

Chronic alcoholism

A long-term, progressive disease characterized by an uncontrollable need to consume alcohol despite negative physical, social, and emotional consequences.

Collagen

A protein essential for supporting the structure of the skin, bones, tendons, and ligaments, and is the most abundant protein in mammals.

Rheumatoid arthritis

An autoimmune disease that causes chronic inflammation of the joints, often resulting in pain and deformity.

Osteoarthritis

A degenerative joint disease characterized by the breakdown of joint cartilage and underlying bone, leading to pain and stiffness, primarily in the hips, knees, and thumbs.