Free TMUA sample

Differentiation

Topic practice · Paper 1 · Core

This free ExamAlly page is a TMUA differentiation practice question for students preparing for the TMUA (Test of Mathematics for University Admission). Use it to check your understanding of Differentiation, attempt every option under light time pressure, then read the full worked solution.

Independent practice material, not affiliated with official TMUA organisers.

Matching revision guide: Read the Differentiation TMUA revision guide

Let f(x)=ln(2+cos(3x))f(x)=\ln \big(2+\cos(3x)\big) for x[0,2π]x \in[0,2 \pi]. For which values of xx is ff strictly increasing on [0,2π][0,2 \pi]?