Let . Determine the least positive integer such that is a constant (independent of…

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

Problem

Let g(x)=x11g(x)=x^{11}. Determine the least positive integer nn such that g(n)(x)g^{(n)}(x) is a constant (independent of xx).

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