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AP EAMCET · Maths · Differentiation

If x=secθ-cosθ and y=secnθ-cosnθ, then x2+4dydx2=

  1. A n(y+4)
  2. B n2y2+4
  3. C n(y+2)
  4. D n2y2+2
Verified Solution

Answer & Solution

Correct Answer

(B) n2y2+4

Step-by-step Solution

Detailed explanation

x=secθ-cosθ ⇒dxdθ=secθtanθ+sinθ y=secnθ-cosnθ ⇒dydθ=nsecnθtanθ+ncosn-1θsinθ dydx=dydθdxdθ=nsecnθtanθ+cosn-1θsinθsecθtanθ+sinθ…