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Let f(x)=|x-((pi)/(2))|^(3)+sin^(2)x, th...

Let `f(x)=|x-((pi)/(2))|^(3)+sin^(2)x`, then `f''((pi)/(2))`

A

does not exist

B

is equal to 2

C

is equal to -2

D

is equal to 0

Text Solution

Verified by Experts

The correct Answer is:
C
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MCGROW HILL PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -Questions from Previous Years. B-Architecture Entrance Examination Papers
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  4. Let f:(-oo,oo)to(-oo,oo) be given by f(x)=x|x|+|x-1|-|x-2|^(2)+|x-3|...

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  5. Let f(.) and g(.) be differentiable functions on (-oo,oo) and let f'(....

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  6. Let f:(-oo,oo)to(-oo,oo) be defined by f(x)={{:(x^(2)",",,"if "x gt ...

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  7. Let f:R to R and g:R to R be functions defined by f(x)=sgn (sin x),g(x...

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  10. Amongst the following functions, a function that is differentiable at ...

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  11. Let f be a differentiable function such that 8f(x)+6f((1)/(x))-x=5(x n...

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  12. If f(x)={{:((1)/(|x|),,"if "|x|gt2),(a+bx^(2),,"if "|x|le2):} then f...

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  13. Let y(x)=(1+x)(1+x^(2))(1+x^(4))…(1+x^(32)). Then (dy)/(dx) at x=(1)/(...

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  14. If y(x)=|{:(sin x,, cos x,, sinx+cosx+1),(23,,17,,13),(1,,1,,1):}|,x i...

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  15. If the function f:R to R defined by f(x)={{:(ax,,x lt 2),(ax^(2)-bx+...

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  16. If y=y(x) is an implicit function of x given by y cos x+x cos y=pi, th...

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  17. For f(x)={{:(x(e^(1//x)-e^(1//x))/(e^(1//x)+e^(-1//x))",",, x ne 0),(0...

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