Home
Class 12
MATHS
If f(x)={x^2+3x+a ,xlt=1, b x+2, forx >...

If `f(x)={x^2+3x+a ,xlt=1, b x+2, forx >1` is everywhere differentiable, find the values of `aa n dbdot`

Text Solution

Verified by Experts

The correct Answer is:
a=3,b=5
Promotional Banner

Topper's Solved these Questions

  • Continuity and Differentiability

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercies 5d|51 Videos
  • Continuity and Differentiability

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercies 5e|19 Videos
  • Continuity and Differentiability

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercies 5b|8 Videos
  • APPLICATIONS OF INTEGRALS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos
  • DETERMINANTS

    NAGEEN PRAKASHAN ENGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

If f(x)={x^2+3x+a ,\ \ \ for\ xlt=1b x+2,\ \ \ \ \ \ \ \ \ \ \ \ \ for\ x >1 is everywhere differentiable, find the values of a and b .

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 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

If the function f(x) is given by f(x)={{:(,2^(1//(x-1)),x lt 1),(,ax^(2)+bx,x ge 1):} is everywhere differentiable, then

Let f(x) =[{:(asqrt(x+1),0lt xlt3),(bx +2, 3lexlt5):} if f(x) is differentiable at x=3 then find the values of a and b.

If f (x) +2 f (1-x) =x ^(2) +2 AA x in R and f (x) is a differentiable function, then the value of f'(8) is

Let f:R to R be given by f(x+y)=f(x)-f(y)+2xy+1"for all "x,y in R If f(x) is everywhere differentiable and f'(0)=1 , then f'(x)=

Let f(x)=|sinx| . Then, (a) f(x) is everywhere differentiable. (b) f(x) is everywhere continuous but not differentiable at x=n\ pi,\ n in Z (c) f(x) is everywhere continuous but not differentiable at x=(2n+1)pi/2 , n in Z . (d) none of these

Let f(x)=|cosx| (a) Then, f(x) is everywhere differentiable (b) f(x) is everywhere continuous but not differentiable at x=npi,\ \ n in Z (c) f(x) is everywhere continuous but not differentiable at x=(2n+1)\ pi/2,\ \ n in Z (d) none of these