2024 ONE(e)

Question

A curve is defined by the equation

y = \frac{2 x ^{2} - 1 - 2 x ln x}{x}

, where

x > 0

.

The curve has a point of inflection at the point P.

Find the equation of the tangent to the curve at the point P.

*You must use calculus and show any derivatives that you need to find when solving this problem.*

Full Solution

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Video Explanation

2024 NCEA L3 Calculus Exam Walkthrough by infinityplusone(starts at 12:41)

Exam Paper (2024)Assessment Schedule (2024)