[" If "f(x)={[x^(2)+3x+a," for "x<=1],[bx+2," for "x>1]" is everywhere differentiable,find the values of a "],[" and b."]

If f(x)={x^(2)+3x+a,quad f or x is everywhere differentiable,find the values of a and b

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

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

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 .

Let f(x)={2x+3 for x 1 if f(x) is everywhere differentiable, prove that f(2)=-4

if f(x) = {{:(x^2, x le 1),(ax + b ,x gt 1):} is differentiable at x = 1 . Find the values of a and b.

if f(x)={(x^2,xle1),(ax+b,x>1):} is differentiable at x = 1, find the values of a and b. Hence find f'(1)

f(x)={ax^(2)-b,, if |x| =1 is differentiable at x=1, find a,bquad if |x|>=1

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) =If f(x)={:{(x^2+3x+a"," x le 1),( " "bx +2"," x gt 1):} is defferentiable for all values of x, than find the values of 'a' and 'b'.