Let for . What is the coefficient of in…

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

Problem

Let r(x)=x4ln⁡xr(x)=x^{4}\ln x for x>0x>0. What is the coefficient of ln⁡x\ln x in r(4)(x)r^{(4)}(x)? (a) 5050 (b) 2424 (c) 00 (d) 1212

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