Mathematics

Differentiate sin x – x cos x

Differentiate sin x – x cos x
  • A.
    x cos x
  • B.
    x sin x
  • C.
    -x cos x
  • D.
    -x sin x
Correct Answer: Option B
Explanation

sin x – x cos x
dy/dx = cos x – [1.cos x + x -sin x]
= co x – [cos x – x sin x]
= cos x – cos x + x sin x
= x sin x