Find $\frac{\mathrm{d}y}{\mathrm{d}x}$ in terms of $t$ in the following parametric equations. $x=\fr

Question

Find $\frac{\mathrm{d}y}{\mathrm{d}x}$ in terms of $t$ in the following parametric equations. $x=\frac{1}{\sqrt{1-{{t}^{2}}}}$, $y={{\sin }^{-1}}(2t)$ [3]

Accepted Answer

$\displaystyle\frac{2(1-t^2)}{t}\sqrt{\frac{1-t^2}{1-4t^2}}$

JPJC Differentiation Tutorial Q7 (d)

JPJC Differentiation Tutorial Q7 (d)

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