Question

The slope of the tangent to the curve y=eˣcos x is minimum at x=α,0≤α\le2π. The value of α is

• A. \(0\)
• B. \(\pi\)
• C. \(2\pi\)
• D. 3π/2

Hint:

For minimum slope, minimise the derivative expression.

Answer 1

The Correct Option is B

(dy)/(dx)=eˣ(cos x-sin x) The slope is minimum when cos x-sin x is minimum, which occurs at x=π