Let . What is…

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

Problem

Let g(x)=tan⁡(3x2+1 )g(x)=\tan\bigl(\sqrt{3x^2+1}\,\bigr). What is g′(0)g'(0)? (a) sec⁡2(1)\sec^{2}(1) (b) tan⁡(1)\tan(1) (c) 0 (d) 3sec⁡2(1)3\sec^{2}(1)

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