For , let P(x)=x _ 1 ^ x t ,dt. What is…

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

Problem

For x>0x>0, let P(x)=x∫1ln⁡xcos⁡t dt.P(x)=x\int_{1}^{\ln x} \cos t\,dt. What is P′(e)P'(e)? (a) −cos⁡1-\cos 1 (b) 00 (c) cos⁡1\cos 1 (d) ecos⁡1e\cos 1

Related theory

Browse the problem library