Tangent derivatives
Tangent derivatives
4 marks
TGM Original
Angles are in radians; use the stated domain. Given y=3 tan(x2), cos(x2) 0, find dydx. Hence find its value at x=0.
Solution:
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Answer:\(\dfrac{\mathrm{d}y}{\mathrm{d}x}=\dfrac{3 \tan^{2}{\left(\dfrac{x}{2} \right)}}{2} + \dfrac{3}{2}\); at \(x=0\), \(\dfrac{3}{2}\).
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