# What is the largest interval on which the function is concave down for #f(x) = 5sin(x) + (sin(x))^2# over the interval #[-pi/3, 2pi/3]#?

##### 2 Answers

#### Explanation:

f(x) is periodic with period

The half of a full wave, in

The tangent crosses the wave at

I think you would say OK to my answer now..

If you need exact values, I got

Which is about

#### Explanation:

Solving

The only value of

For

(Use

For

(Use

So the largest interval is the closed interval

Which is about