If $f(a) = f(b)$ and $f'(a) = f'(b)$, prove that for every real number $λ$ the equation $f''(x) − λ(f'(x))^2 = 0$ has at least one solution in $(a,b)$

score 98 · Answer 13 · 2021-07-02 06:14:12

98

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Let $f(x)$ be a function such that $f(x)=f(4-x)$ , then find the minimum number of roots of $f''(x)=0$ in $[0,4]$.

Published on 02 Jul 2021 - 6:14

score 50 · Answer 14 · 2021-07-07 03:03:54

50

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Range of values of 'a' so that the function has local maxima/minima at given values of x

Published on 07 Jul 2021 - 3:03

score 68 · Answer 15 · 2021-07-08 12:13:56

68

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What's the meaning of different braces?

Published on 08 Jul 2021 - 12:13

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If $f(a) = f(b)$ and $f'(a) = f'(b)$, prove that for every real number $λ$ the equation $f''(x) − λ(f'(x))^2 = 0$ has at least one solution in $(a,b)$

Let $f(x)$ be a function such that $f(x)=f(4-x)$ , then find the minimum number of roots of $f''(x)=0$ in $[0,4]$.

Range of values of 'a' so that the function has local maxima/minima at given values of x

What's the meaning of different braces?

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