Question

Find the critical numbers for f(x)=cos(x)+sin^2(x) on the interval [0,2pi]

Answer 1

Explanation:

Rad [0,2
`\pi`]

f(x)=cos(x)+sin²(x)=cos(x)+1-cos²(x)

--[cos(x)-1/2]²+5/4=f(x)

when cos(x)=1/2,the f(x) has Max=5/4

cos(x)=1/2,x=
`\pi`/3(Rad) or 60°(Deg)