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Questions  

If  y=tanx,  find dydx .

a
sin2x
b
cosec2x
c
sec2x
d
cot2x

detailed solution

Correct option is C

y=tanx=sinxcosx  dydx=cosxddx(sinx)-sinxddx(cosx)(cosx)2 =cosx·cosx-sinx(-sinx)cos2x=cos2x+sin2xcos2x =1cos2x=sec2x

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