Tangent derivatives
Tangent derivatives
7 marks
TGM Original
Angles are in radians; use the stated domain. Given y=2 tan(x) + tan(3 x), cos(3 x) 0, find dydx. Hence find its value at x=0. Explain why the function has no zero-gradient point in its domain.
Solution:
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Answer:\(\dfrac{\mathrm{d}y}{\mathrm{d}x}=2 \tan^{2}{\left(x \right)} + 3 \tan^{2}{\left(3 x \right)} + 5\); at \(x=0\), \(5\). There is no zero-gradient point.
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