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Question

If y=tan15x16x2, 16<x<16, then prove that dydx=21+4x2+31+9x2

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Solution

Here y=tan15x16x2=tan1(3x+2x13x.2x)=tan13x+tan12x

dydx=ddx(tan13x+tan12x) dydx=31+9x2+21+4x2

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