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

question 242

Multiple Choice

Write the function in the form y = f(u) and u = g(x) . Then find dy/dx as a function of x.
- $$y = e ^ { 3 x / 2 }$$

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

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