Write the Function in the Form Y = F(u) and U

question 39

Multiple Choice

Write the function in the form y = f(u) and u = g(x) . Then find dy/dx as a function of x.
- $$y = \tan \left( \pi - \frac { 4 } { x } \right)$$

• A) \(y = \tan u ; u = \pi - \frac { 4 } { x } ; \frac { d y } { d x } = \sec ^ { 2 } \left( \frac { 4 } { x ^ { 2 } } \right)\)
• B) \(y = \tan u ; u = \pi - \frac { 4 } { x } ; \frac { d y } { d x } = \frac { 4 } { x ^ { 2 } } \sec ^ { 2 } \left( \pi - \frac { 4 } { x } \right)\)
• C) \(y = \tan u ; u = \pi - \frac { 4 } { x } ; \frac { d y } { d x } = \sec ^ { 2 } \left( \pi - \frac { 4 } { x } \right)\)
• D) \(y = \tan u ; u = \pi - \frac { 4 } { x } ; \frac { d y } { d x } = \frac { 4 } { x ^ { 2 } } \sec \left( \pi - \frac { 4 } { x } \right) \tan \left( \pi - \frac { 4 } { x } \right)\)

---

Definitions:

Community Resources

Various support services and facilities available within a community that can be accessed by its members for help, enrichment, or development.

Home Visits

Visits made by educators, social workers, or healthcare professionals to the residences of individuals or families to provide support and services.

Learning Materials

Resources or tools used to facilitate education and learning, such as textbooks, videos, and software applications.

Advocacy

The act of arguing in favor of something, such as a cause, idea, or policy.