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JEE Delight | B Stat/ B Math | ISI | UGB 2023 | Q8 | Calculus | LMVT
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JEE Delight | B Stat/ B Math | ISI | UGB 2023 | Q8 | Calculus | LMVT
Let f : [0, 1] → IR be a continuous function which is differentiable on
(0, 1). Prove that either f is a linear function f(x) = ax+b or there exists
t ∈ (0, 1) such that |f(1) − f(0)| is less than |f′(t)|.
Support the channel:
Let f : [0, 1] → IR be a continuous function which is differentiable on
(0, 1). Prove that either f is a linear function f(x) = ax+b or there exists
t ∈ (0, 1) such that |f(1) − f(0)| is less than |f′(t)|.
Support the channel:
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