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If f(x)={(3x^2+12x-1,-1lexle2),(37-x,2l...

If `f(x)={(3x^2+12x-1,-1lexle2),(37-x,2ltxle3):}`

A

f(x) is increasing on `[-1,2]`

B

f(x) is continuous on `[-1,3]`

C

f'(2) does not exist

D

all of these

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The correct Answer is:
D
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PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
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  3. If f(x)={(3x^2+12x-1,-1lexle2),(37-x,2ltxle3):}

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  9. The maximum value of f(x)=(x-2)(x-3)^2 is

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  13. The total number of local maxima and local minima for the function ...

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  14. Let f(x)={(absx, "for",0ltabsxlt=2),(1, "for",x=0):} Then ,at x = 0...

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  15. Let f(x) be a function defined as f(x)= {(sin(x^2-3x),xle0),(6x+5x^2,x...

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  16. If line ax+by+c=0 is normal to the curve xy+5=0 then a and b are of :

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  17. If the tangent at (x0,y0) to the curve x^3+y^3=a^3 meets the curve aga...

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  18. If x/a+y/b=2 touches the curve x^n/a^n+y^n/b^n=2 at the point (alpha,b...

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  19. The ength of substangent to the curve y=e^(x//a) is :

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