CBSE Class 12 Sample Paper for 2023 Boards

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Question 36 (i) [Case Based] - CBSE Class 12 Sample Paper for 2023 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at April 16, 2024 by

The temperature of a person during an intestinal illness is given by 𝑓(𝑥) = −0.1x^2 + 𝑚𝑥 + 98, 0 ≤x≤12, m being a constant, where 𝑓(𝑥) is the temperature in °F at x days

Question 36 Class 12 - Teachoo.jpg

Based on the above information answer the following questions.

Question 36 ( i )

Is the function differentiable in the interval (0, 12)? Justify your answer.

 

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Transcript

Question 36 [Case Based] The temperature of a person during an intestinal illness is given by 𝑓(𝑥) = −0.1𝑥^2 + 𝑚𝑥 + 98, 0 ≤𝑥≤12, m being a constant, where 𝑓(𝑥) is the temperature in °F at x daysBased on the above information answer the following questions. Question 36 (i) Is the function differentiable in the interval (0, 12)? Justify your answer.In interval (0, 12) The function is 𝑓(𝑥) = −0.1𝑥^2 + 𝑚𝑥 + 98 Since it is a polynomial function And polynomial functions are differentiable everywhere ∴ f(x) is differentiable in (0, 12)

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