While studying the circular motion I had to find the derivative of a tangent so I thought what the derivative of a tangent could probably mean since the derivative of position gives velocity. Or think like finding tangent of a tangent. Or instantaneous rate of change of tangent in a circular motion.
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$\begingroup$ Can you provide source? $\endgroup$– ACBCommented Aug 20, 2021 at 17:23
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$\begingroup$ Are you asking for a geometric interpretation of $\frac{d}{d\theta}\tan\theta=\sec^2\theta$? $\endgroup$– J.G.Commented Aug 20, 2021 at 18:17
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If derivative of the tangent (as a vector) gives the velocity, the derivativ of this velocity is the acceleration, without physics it gives the change of direction (and magnitude) of the tangen.
