Easy -1.8 This is a straightforward 1-mark multiple choice question requiring only basic knowledge that the derivative of ln x is 1/x, which is positive at x=1, and the second derivative is -1/x² (negative), indicating decreasing gradient. No calculation or problem-solving required beyond routine recall and sign checking.
At the point \((1, 0)\) on the curve \(y = \ln x\), which statement below is correct?
Tick (\(\checkmark\)) one box.
[1 mark]
The gradient is negative and decreasing
The gradient is negative and increasing
The gradient is positive and decreasing
The gradient is positive and increasing
At the point $(1, 0)$ on the curve $y = \ln x$, which statement below is correct?
Tick ($\checkmark$) one box.
[1 mark]
The gradient is negative and decreasing
The gradient is negative and increasing
The gradient is positive and decreasing
The gradient is positive and increasing
\hfill \mbox{\textit{AQA AS Paper 1 2020 Q1 [1]}}