Find the critical numbers of the function on the interval 0 ≤ θ < 2π.?
g(θ) = 4 θ - tan(θ)
θ= (smallest value)
θ=
θ=
θ= (largest value)
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g(θ) = 4 θ - tan(θ)
θ= (smallest value)
θ=
θ=
θ= (largest value)
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Verified answer
g(θ) is not defined at θ = π/2 and θ = 3π/2.
Since lim (θ -->π/2) tan(θ) = lim (θ -->3π/2) tan(θ) = +oo (left) and -oo (right), the function g(θ) admits neither a smallest nor a largest value on the interval 0 ≤ θ < 2π.