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Chain and Quotient Rule Application

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Consider the function f(x)=x+32∗x−1.f(x)=\sqrt{\frac{x+3}{2*x-1}}.
Using the chain and quotient rules, its derivative simplifies to an expression which is never zero due to a nonzero constant factor in the numerator. Determine the solution to the equation f′(x)=0.f'(x)=0.

A

No real solution

B

x=32x=\frac{3}{2}

C

x=−1x=-1

D

x=2x=2

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