f (x), g(x), h(x) are functions having non-zero derivatives. The derivative of f (x)…

Mathematics · JEE Advanced · NTA ExamsLimit, Continuity and Differentiability

f (x), g(x), h(x) are functions having non-zero derivatives. The derivative of f (x) w.r.t g(x) is α(x) and derivative of g(x) w.r.t h(x) is β(x). Then derivative of h(x) w.r.t f (x) =
  1. α (x) . β (x)
  2. \(\frac{\alpha(\mathrm{x})}{\beta(\mathrm{x})}\)
  3. \(\frac{1}{\alpha(x) \beta(x)}\)
  4. \(\frac{\beta(\mathrm{x})}{\alpha(\mathrm{x})}\)

Answer

(C) 1 (x) (x)

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