If y = x^(sin x), find dy/dx.
If y = x^(sin x), find dy/dx.
- A. x^(sin x) (cos x log x + sin x / x)
- B. x^(sin x) (cos x + sin x / x)
- C. sin x x^(sin x − 1)
- D. (sin x) log x
Answer: A) x^(sin x) (cos x log x + sin x / x)
Explanation: log y = sin x log x. Diff: (1/y) y' = cos x log x + (sin x)/x. So y' = x^(sin x) (cos x log x + sin x / x).
0 Answers
Log in to post your own answer or join the discussion.
No comments yet — start the discussion.