Slope of tangent to the curve y = 2e x sin ( 4 - x 2 ) cos ( 4 - x 2 ), where 0 ≤ x ≤ 2π…

Mathematics · JEE Main · NTA ExamsLimit, Continuity and Differentiability

Slope of tangent to the curve
y = 2ex sin \(\left(\frac{\pi}{4}-\frac{x}{2}\right)\) cos \(\left(\frac{\pi}{4}-\frac{x}{2}\right),\)where 0 ≤ x ≤ 2π is minimum at x =
  1. 0
  2. π
  3. 2π
  4. none of these

Answer

(B) π

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