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f(x)= min{1, cosx, 1-sinx}, -pilexlepi t...

`f(x)= min{1, cosx, 1-sinx}, -pilexlepi` then

A

f(x) is not differentiable at '0'

B

f(x) is differentiable at `frac(pi)(2)`

C

f(x) is not differentiable at `pi`

D

none of these

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The correct Answer is:
A
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PATHFINDER-LIMIT, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  2. Let f be twice differentiable function satisfying f(1) = 1, f(2) = 4, ...

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  3. f(x)= min{1, cosx, 1-sinx}, -pilexlepi then

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  5. If f(x) = lim(nrarr infty)(sinx)^(2n) where n in l^+ then f(x) is

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  7. Let f : R rarr R be a differentiable function having f(2) = 6, f'(2) =...

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  8. The value of lim(xrarr0)frac(1)(x^3) int0^(x) (t log(1+t))/(t^4+4)dt ...

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  9. Let f: RrarrR be such that f (1) = 3 and f' (1) = 6 Then, lim(xrarr0)(...

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  10. If lim(xrarr0)(1+ax+bx^2)^(2//x) = e^3 then

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  11. If x+|y| = 2y, then y as a function of x is

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  18. If f(x) = |x-a| phi (x), where phi(x) is continuous function, then

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  19. If f (x) = min { 1, x^2 , x^3} then

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  20. Let L=lim(x rarr0)(a-sqrt(a^2-x^2)-x^2/4)/x^4, a gt 0. If L is finite,...

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