The domain of the derivative of the function is:

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

The domain of the derivative of the function f(x)=∣sin⁡−1(2x2−1)∣f(x)=|\sin^{-1}(2x^2-1)| is: (1) (−1,1)(-1,1) (2) (−1,1)∖{0,±12}(-1,1)\setminus\left\{0,\pm\frac{1}{\sqrt{2}}\right\} (3) (−1,1)∖{0}(-1,1)\setminus\{0\} (4) (−1,1)∖{±12}(-1,1)\setminus\left\{\pm\frac{1}{\sqrt{2}}\right\}

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