# How do you find all points of inflection given #y=-2sinx#?

##### 1 Answer

Jun 21, 2017

There is a point of inflection whenever

#### Explanation:

Points of inflection occur when the curve changes concavity. Since this is a sine wave, there are an infinite number of points of inflection.

A function is concave up when the second derivative (

Differentiate

Whenever

graph{-2sinx [-pi, pi, -3, 3]}

Whenever the curve crosses the x-axis (that is, whenever y=0), the concavity changes.