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

question 238

Multiple Choice

Write the function in the form y = f(u) and u = g(x) . Then find dy/dx as a function of x.
- $$y = \csc ( \cot x )$$

• A) \(y = \cot u ; u = \csc x ; \frac { d y } { d x } = \csc ^ { 2 } ( \csc x ) \csc x \cot x\)
• B) \(y = \csc u ; u = \cot x ; \frac { d y } { d x } = \csc ^ { 3 } x \cot x\)
• C) \(y = \csc u ; u = \cot x ; \frac { d y } { d x } = - \csc ( \cot x ) \cot ( \cot x )\)
• D) \(y = \csc u ; u = \cot x ; \frac { d y } { d x } = \csc ( \cot x ) \cot ( \cot x ) \csc ^ { 2 } x\)