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Transcript

Given y = 4š‘„āˆ’1/2 š‘„^2 Let Rate of growth be represented by g(x) = š‘‘š‘¦/š‘‘š‘„ To find increase or decrease , we will calculate g’(x) g(x) = š‘‘š‘¦/š‘‘š‘„ = 4 āˆ’ x g’(x) = š‘‘/š‘‘š‘„ (š‘‘š‘¦/š‘‘š‘„) = (š‘‘(4 āˆ’ š‘„))/š‘‘š‘„ = āˆ’1 < 0 Since g’(x) < 0 Thus, g(x) is decreasing So, the growth of the plant decreases for the first three days. Finding Height of plant after 2 days Putting x = 2 in value of y y = 4š‘„āˆ’1/2 š‘„^2 y = 4(2)āˆ’1/2 Ɨ 2^2 y = 8 āˆ’ 2 y = 6 cm

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo