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teachoo.com
Example 12 - Find intervals where f(x) = sin 3x is decreasing
Example 12 Find intervals in which the function given by f (x) = sin 3x, x, ∈ [0, 𝜋/2] is (a) increasing (b) decreasing. f(𝑥) = sin 3𝑥 where 𝑥 ∈ [0 ,𝜋/2]Finding f’(x)f’(𝑥) = 𝑑(sin3𝑥 )/𝑑𝑥 f’(𝑥) = cos 3𝑥 × 3 f’(𝒙) = 3. cos 3𝒙Putting f’(𝒙) = 0 3 cos 3𝑥 = 0 cos 3𝑥 = 0We kno
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