Easy -1.8 This is a straightforward single-step differentiation requiring only the power rule applied to x^(-1). It's a 1-mark multiple-choice question testing basic recall of differentiation rules with no problem-solving element, making it significantly easier than average A-level questions.
Given that \(\frac{dy}{dx} = \frac{1}{x}\) find \(\frac{d^2y}{dx^2}\)
Circle your answer.
[1 mark]
\(-\frac{2}{x^2}\) \(-\frac{1}{x^2}\) \(\frac{1}{x^2}\) \(\frac{2}{x^2}\)
Given that $\frac{dy}{dx} = \frac{1}{x}$ find $\frac{d^2y}{dx^2}$
Circle your answer.
[1 mark]
$-\frac{2}{x^2}$ $-\frac{1}{x^2}$ $\frac{1}{x^2}$ $\frac{2}{x^2}$
\hfill \mbox{\textit{AQA AS Paper 1 2021 Q2 [1]}}