If 6 is the critical point of the function, then find the value of the constant m.

 

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Question 36 (ii) If 6 is the critical point of the function, then find the value of the constant m.Since 6 is the critical point of the function ∴ f’(6) = 0 Finding f’(x) 𝑓(𝑥) = −0.1𝑥^2 + 𝑚𝑥 + 98 Differentiating w.r.t. x 𝑓‘(𝑥) = −0.1 × 2𝑥 + 𝑚 Putting x = 6 𝑓‘(6) = −0.1 × 2 × 6 + 𝑚 0 = −1.2 + m 1.2 = m m = 1.2

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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