Home
Class 12
MATHS
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

0

B

2

C

1

D

`(1)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Very short Answer Type Questions|38 Videos

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Short AnswerType Questions|63 Videos

  • DIFFERENTIATION

    CHHAYA PUBLICATION|Exercise Example|170 Videos

  • DIFFERENTIAL EQUATIONS OF THE FIRST ORDER AND FIRST DEGREE

    CHHAYA PUBLICATION|Exercise E ASSERTION-REASON TYPE|2 Videos

  • DIRECTION COSINES AND DIRECTION RATIOS

    CHHAYA PUBLICATION|Exercise Assertion-Reason Type|2 Videos

Similar Questions

Explore conceptually related problems

A function f (x) is defined as follows : f(x)={{:(3x+1,"for "xle1 ),(3-ax^(2),"for " xgt1):} If f (x) is continuous at x = 1 , find the value of a.

A function f (x) is defined as follows: f(x)={{:(x+2,"when "xlt2),(x^(2)-1,"when "xge2):} Show that f (x) is discontinuous at x = 2 and the jump of the function at this point is -1 .

The function f is defined by f(x)={(,1-x,x lt 0),(,1,x=0),(,x+1,x gt 0):} Draw the graph of f(x).

A function f (x) is defined as follows : f(x)={{:(2-x",","when "xlt1),(x^(2)-3x",","when "xge1):} Examine the differentiability of the function f (x) at x= 1 , hence state whether f (x) is continuous at x = 1 or not .

A function y =f(x) is defined as follow: " " y= f(x) ={ (x^(2) ,when 0 lt xlt 1),( sqrt x ,when xgt 1):} Find the area above the x-axis included between the curve y=f(x) and the line x=4

A function f(x) is defined as follows for real x f(x)={{:(1-x^(2),", for x"lt1),(" 0",", for x = 1"),(1+x^(2),", for x"gt1):} Then

Is the function defined by f(x)={{:(x+5," if "x le1),(x-5," if "x gt 1):} a continuous function?

If the function f: R to R is defined by f(x) =(x^(2)+1)^(35) for all x in RR then f is

A function f(x) is defined by, implies f(x)=f(x)={(([x^2]-1)/(x^2-1) "for" x^2ne1),(0 "for"x^2=1):} Discuss the continuity of f(x) at x=1.