Ex 6.2, 6 (b) - Chapter 6 Class 12 Application of Derivatives
Last updated at Dec. 16, 2024 by Teachoo
Ex 6.2
Ex 6.2, 1
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Transcript
Ex 6.2, 6 Find the intervals in which the following functions are strictly increasing or decreasing: (b) 10 β 6π₯ β 2π₯2 Calculating fβ(π) f(π₯) = 10 β 6π₯ β 2π₯2 fβ(π₯) = β6 β 4π₯ fβ(π₯) = β2(3 + 2π₯) Putting fβ(π) = 0 β2(3 + 2π₯) = 0 3 + 2π₯ = 0 2π₯ = β3 π = (βπ)/π Plotting points on number line Hence, f is strictly decreasing for π > (βπ)/π f is strictly increasing for x < (βπ)/π
