![Ex 6.3, 5 (i) - For f(x) = x^3, x ā [-2, 2], find absolute maximum and - Ex 6.3](https://cdn.teachoo.com/6fe88eed-84ad-4c6c-8ae4-ee5aad7c7476/slide5.jpg)
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Ex 6.3, 5 (i) - Chapter 6 Class 12 Application of Derivatives
Last updated at December 16, 2024 by Teachoo
Ex 6.3
Ex 6.3, 1 (i)
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Chapter 6 Class 12 Application of Derivatives
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Transcript
Ex 6.3, 5 Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals: (i) f (š„) = š„3, š„ā[ā 2, 2]Finding fā(š) fā(š„)=š(š„^3 )/šš„ fā(š„)=3š„^2 Putting fā(š)=š 3š„^2=0 š„^2=0 š„=0 So, š„=0 is critical point Since given interval is š„ ā [ā2 , 2] Hence calculating f(š„) at š„=ā2 , 0 , 2 Absolute Maximum value of f(x) is 8 at š = 2 & Absolute Minimum value of f(x) is ā8 at š = ā2
