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Let f(x) be a function such that f'(a) n...

Let f(x) be a function such that `f'(a) ne 0` . Then , at x=a, f(x)

A

cannot have a maximum

B

cannot have a minimum

C

must have niether a maximum nor a minimum

D

none of these

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The correct Answer is:
C
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OBJECTIVE RD SHARMA ENGLISH-MAXIMA AND MINIMA -Exercise
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  2. The minimum value of (x-a)(x-b) is

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  3. The altitude of a right circular cone of minimum volume circumscired a...

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  4. If (x-a)^(2m) (x-b)^(2n+1), where m and n are positive integers and a...

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  5. If (x-a)^(2m) (x-b)^(2n+1), where m and n are positive integers and a...

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  6. In a triangleA B C ,/B=90^0 and b+a=4. The area of the triangle is ma...

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  7. The function f(x) given by f(x)=|{:(x-1", "x+1", "2x+1),(x+1", ...

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  8. Maximum area of a reactangle which can be inscribed in a circle of a...

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  9. If f(x)={:{(3x^2+12x-1"," -1le x le2),(37-x ","2 lt x le 3):} then

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  10. The perimeter of a sector is p. The area of the sector is maximum when...

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  11. If a^(2)x^(4)b^(2)y^(4)=c^(6)(a,b,x,y,cgt0) then the maximum value of ...

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  12. The function int(-1)^(x)t(e^t-1)(t-1)(t-2)^3(t-3)^5dt has local mini...

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  13. Let f(x) be a function such that f'(a) ne 0 . Then , at x=a, f(x)

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  14. Let a,b,c be positive real parameter and ax^2+ b/x^2gec, AA xepsilonR ...

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  15. If xy=a^2 and S = b^2x + c^2y where a, b and c are constants then the ...

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  16. Let f(x)=e^x sinx , slope of the curve y=f(x) is maximum at x=a if 'a'...

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  17. If a gt b gt0 then maximum value of (ab(a^2-b^2)sinxcosx)/(a^2sin^2...

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  18. The maximum value of the function f(x)=(1+x)^(0.3)/(1+x^(0.3)) in [0,1...

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  19. If g(x)=max(y^(2)-xy)(0le yle1), then the minimum value of g(x) (for...

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  20. If a,b,c are positive constants such that agtb then the maximum value...

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