Home
Class 12
MATHS
If f(x) = {{:( e^(x) +ax ,"for " x lt 0...

If f(x) = ` {{:( e^(x) +ax ,"for " x lt 0 ),( b(x-1) ^(2) ,"for " xge 0):}, ` is differentiable at x =0,then (a,b) is

A

(-3,-1)

B

(-3,1)

C

(3,1)

D

(3,-1)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

Define f(x) = {{:(x^(2)+bx+c , ",",x lt 1),(x,",",x ge 1):} . If f(x) is differentiable at x = 1 , then (b - c) =

If f(x) = {(x,",", x ge 0),(x^(2),",",x lt 0):} , then f(x) is

If f(x) = {{:(-x, " when "x lt 0),(x^(2), " when "0 le x le 1),(x^(3) -x+1, " when " x gt 1):} then f is differentiable at

If f(x)={:{(x", for " 0 le x lt 1),(2", for " x=1),(x+1", for " 1 lt x le 2):} , then f is

If f(x) = {(x-1,",", x lt 0),(1/4,",",x = 0),(x^2,",",x gt 0):}