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Ex 6.2, 4 - Find intervals f(x) = 2x2 - 3x is (a) increasing

Ex 6.2,4 - Chapter 6 Class 12 Application of Derivatives - Part 2

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Ex 6.2, 4 Find the intervals in which the function f given by f (π‘₯) = 2π‘₯2 – 3π‘₯ is (a) strictly increasing (b) strictly decreasing f (π‘₯) = 2π‘₯2 –3π‘₯ Calculating f’(𝒙) 𝑓^β€² (π‘₯) = 4π‘₯ – 3 Putting f’ (𝒙) = 0 4π‘₯ – 3 = 0 4π‘₯ = 3 π‘₯ = 3/4 Plotting point on number line Hence, f is strictly increasing in (πŸ‘/πŸ’ , ∞) f is strictly decreasing in (βˆ’βˆž ,πŸ‘/πŸ’)

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