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A function f (x) is defined by : f(...

A function f (x) is defined by :
`f(x)={(px^2+1,"for"xlt1),(x+p,"for"xgt1):}`
if f (x) be differentiable at x = 1 then p =

A

`(1)/(2)`

B

2

C

`-(1)/(2)`

D

`-2`

Text Solution

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The correct Answer is:
A
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MARVEL PUBLICATION-DIFFERENTIATION-MULTIPLE CHOICE QUESTIONS (TEST YOUR GRASP - II : CHAPTER 11)
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  12. d/(dx)[sin^(- 1)(x-(4x^3)/27)]= 4x327dx

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  13. (d)/(dx)(sec^(2)x*csc^(2)x)=

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  14. If y=log((1)/(1-x))," then: "(dy)/(dx)-1=

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  16. If y=cos((1)/(2)cos^(-1)x)," then "(dx)/(dy)=

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  17. If y=(1+x^(1/4))(1+x^(1/2))(1-x^(1/4)) , then find (dy)/(dx)dot

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  19. Defferential coefficient of x^(x)w.r.t.x*logx is

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  21. If 3x^(2)+4xy-5y^(2)=0," then: "(dy)/(dx)=

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