# Is #f(x) =sinx/x# concave or convex at #x=1#?

##### 1 Answer

Mar 11, 2016

Concave..

#### Explanation:

Here, the angular measure x, in sin x, is in

Differentiate twice with respect to x.

The second derivative at x = 1 is #sin 1 - 2 cos 1 < 0.

The first derivative is a decreasing function, at x = 1.

AS x increases, the tangent rotates in the clockwise sense, The curve is concave.. .