Differentiate x x- x x x- x w.r.t x.

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

Differentiate \(\frac{x \sin x-\cos x}{x \cos x-\sin x}\) w.r.t x.
  1. \(\frac{(x \cos x-\sin x)(2 \sin x+x \cos x)}{(x \cos x-\sin x)^{2}}\)
  2. \(\frac{(x \cos x-\sin x)(2 \sin x+x \cos x)+(x \sin x-\cos x)}{(x \cos x-\sin x)^{2}}\)
  3. \(\frac{(x \cos x-\sin x)(2 \sin x+x \cos x)+(x \sin x-\cos x) x \sin x}{(x \cos x-\sin x)^{2}}\)
  4. None of these

Answer

(C) (x x- x)(2 x+x x)+(x x- x) x x (x x- x)^ 2

Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.

Related practice questions

More Limit, Continuity and Differentiability questions · Browse all practice questions