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If x=asec^3theta,y=atan^3theta, find (d^...

If `x=asec^3theta,y=atan^3theta,` find `(d^2y)/(dx^2)` at `theta=pi/4`

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To find \(\frac{d^2y}{dx^2}\) at \(\theta = \frac{\pi}{4}\) given \(x = \sec^3 \theta\) and \(y = \tan^3 \theta\), we will follow these steps: ### Step 1: Find \(\frac{dy}{d\theta}\) and \(\frac{dx}{d\theta}\) 1. **Differentiate \(y\) with respect to \(\theta\)**: \[ y = \tan^3 \theta \] ...
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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
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