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

Question 272

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=(2x+11) 5y = ( - 2 x + 11 ) ^ { 5 }


A) y=u5;u=2x+11;dydx=10(2x+11) 4y = u ^ { 5 } ; u = - 2 x + 11 ; \frac { d y } { d x } = - 10 ( - 2 x + 11 ) ^ { 4 }
B) y=5u+11;u=x5;dydx=10x4y = 5 u + 11 ; u = x ^ { 5 } ; \frac { d y } { d x } = - 10 x ^ { 4 }
C) y=u5;u=2x+11;dydx=2(2x+11) 5y = u ^ { 5 } ; u = - 2 x + 11 ; \frac { d y } { d x } = - 2 ( - 2 x + 11 ) ^ { 5 }
D) y=u5;u=2x+11;dydx=5(2x+11) 4y = u ^ { 5 } ; u = - 2 x + 11 ; \frac { d y } { d x } = 5 ( - 2 x + 11 ) ^ { 4 }

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