For , which derivative of is the first to be identically zero for all real values of…

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

Problem

For g(x)=x12g(x)=x^{12}, which derivative of gg is the first to be identically zero for all real values of xx? (a) g(12)(x)g^{(12)}(x) (b) g(14)(x)g^{(14)}(x) (c) g(11)(x)g^{(11)}(x) (d) g(13)(x)g^{(13)}(x)

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