Home
Class 12
MATHS
Find the values of a and b , if the fu...

Find the values of `a` and `b ,` if the function `f` defined by `f(x)={x^2+3x+a`; if `xlt=1, b x+2`; if `x >1` is differentiable at `x=1`

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • EXAM REVISION SERIES

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|19 Videos

Similar Questions

Explore conceptually related problems

Find the values of a and b , if the function f(x) defined by f(x)={x^2+3x+a ,\ \ xlt=1b x+2,\ \ \ \ \ \ \ \ \ \ x >1 is differentiable at x=1 .

Find the value of ' a ' if the function f(x) defined by f(x)={2x-1,\ \ \ x 2 is continuous at x=2

Find the value of a if the function f(x) defined by f(x)={2x-a, ,x 2 if function continuous at x=2

Find the values of a and b so that the function f(x)={(x^2+3x+a ,, ifxlt=1), (bx+2 ,, ifx >1):} is differentiable at each x∈R

Find the values of aa n db so that the function f(x)={x^2+3x+a ,ifxlt=1b x+2,ifx >1 is differentiable at each x in Rdot

Find the values of aa n db so that the function f(x)={x^2+3x+a ,ifxlt=1b x+2,ifx >1 is differentiable at each x in Rdot

Find the domain of the function f(x) defined by f(x)=sqrt(4-x)+1/(sqrt(x^2-1)) .

Find the domain of the function f(x) defined by f(x)=sqrt(4-x)+1/(sqrt(x^2-1)) .

Find the relationship between a and b so that the function f defined by: f(x)={a x+1\ \ \ \ \ \ "if"\ x\ lt=3,b x+3"if"\ x >3

Prove that the greatest integer function defined by f(x) = [x], 0 < x < 3 is not differentiable at x = 1 and x = 2 .