Let be a positive integer and define

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

Problem

Let nn be a positive integer and define f(x)=xnf(x)=x^{n}. Which of the following equals f(n)(x)f^{(n)}(x)? (a) nxn−1n x^{n-1} (b) (n+1)!(n+1)! (c) n!n! (d) 00

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