If f:RR is a twice differentiable function such that f(x)>0forallxR,and f(21)=21,f(1)=1 then: fprime(1)>1 (b) fprime(1)≤0(c)21<fprime(1)<1 (d)="" 0<fprime(1)≤21

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If {f}:{R}{{R}} is a twice differentiable function such that {

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If $f : R R$ is a twice differentiable function such that $f (x) > 0 f or a l l x R, a n d$ $f (\frac{1}{2}) = \frac{1}{2}, f (1) = 1$ then: $f^{p r i m e} (1) > 1$ (b) $f^{p r i m e} (1) \leq 0$ (c) $\frac{1}{2} < f^{p r i m e} (1) < 1$ (d)="" $0 < f^{p r i m e} (1) \leq \frac{1}{2}$

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Olivia Discussed

f : R R

is a twice differentiable function such that

f (x) > 0 f or a l l x R, a n d

f (\frac{1}{2}) = \frac{1}{2}, f (1) = 1

then:

f^{p r i m e} (1) > 1

(b)

f^{p r i m e} (1) \leq 0

(c)

\frac{1}{2} < f^{p r i m e} (1) < 1

(d)=""

0 < f^{p r i m e} (1) \leq \frac{1}{2}

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Question Text	If $f : R R$ is a twice differentiable function such that $f (x) > 0 f or a l l x R, a n d$ $f (\frac{1}{2}) = \frac{1}{2}, f (1) = 1$ then: $f^{p r i m e} (1) > 1$ (b) $f^{p r i m e} (1) \leq 0$ (c) $\frac{1}{2} < f^{p r i m e} (1) < 1$ (d)="" $0 < f^{p r i m e} (1) \leq \frac{1}{2}$
Answer Type	Video solution: 1
Upvotes	150