<p>Given that $A=\sqrt{1+\frac{1}{{{x}^{2}}}}$, and that the rate of decrease of $A$ is $k$ times the rate of increase of $x$ when $x=k$, find $k$, where $k$ is a positive real number.</p><p style="text-align: right;">[4]</p>

Given that $A=\sqrt{1+\frac{1}{{{x}^{2}}}}$, and that the rate of decrease of $A$ is $k$ times the rate of increase of $x$ when $x=k$, find $k$, where $k$ is a positive real number.

Applications of Differentiation

H2 Math

International Baccalaureate Higher Level Mathematics

2020 TJC P1 Q1

2020 TJC P1 Q1

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