Tangent derivatives

Tangent derivatives

4 marks
TGM Original
Angles are in radians; use the stated domain. Given y=- x + tan(x), cos(x) 0, find dydx. Hence find its value at x=0.

Solution:

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Answer:\(\dfrac{\mathrm{d}y}{\mathrm{d}x}=\tan^{2}{\left(x \right)}\); at \(x=0\), \(0\).

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