For , which of the following is…

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Composite, Implicit, and Inverse Functions · Differentiation: Composite, Implicit, and Inverse Functions

Problem

For g(x)=csc⁡(2x2+1)g(x)=\csc\bigl(2x^{2}+1\bigr), which of the following is g′(x)g'(x) ? (a) −2x csc⁡(2x2+1)cot⁡(2x2+1)-2x\,\csc\bigl(2x^{2}+1\bigr)\cot\bigl(2x^{2}+1\bigr) (b) −4x csc⁡2(2x2+1)-4x\,\csc^{2}\bigl(2x^{2}+1\bigr) (c) −4x csc⁡(2x2+1)cot⁡(2x2+1)-4x\,\csc\bigl(2x^{2}+1\bigr)\cot\bigl(2x^{2}+1\bigr) (d) 4x csc⁡(2x2+1)cot⁡(2x2+1)4x\,\csc\bigl(2x^{2}+1\bigr)\cot\bigl(2x^{2}+1\bigr)

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