For integers with

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

Problem

For integers nn with 0≤n≤100\le n\le 10, which expression gives the nnth derivative of s(x)=7x10s(x)=7x^{10}? (a) 7 10 n x10−n7\,10^{\,n}\,x^{10-n} (b) 7 10!(10−n)! x10−n7\,\dfrac{10!}{(10-n)!}\,x^{10-n} (c) 7 n! x10−n7\,n!\,x^{10-n} (d) 7 10!n! x10−n7\,\dfrac{10!}{n!}\,x^{10-n}

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