Home
Class 12
MATHS
Let f(x)=2x+3" " for xle1 =ax...

Let `f(x)=2x+3" "` for `xle1`
`=ax^(2)+bx" "` for `xgt1`
If f(x) is everywhere differentiable, then prove that `f'(2)=-4`.

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

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

If the function f(x)={{:(2x+3",","when "xle1),(ax^(2)+bx",","when "xgt1):} is differentiable everywhere then show that f '(3) =-10

Let {:(f(x)=5x-4," ""when "0ltxle1),(=4x^(2)-3x," ""when "xgt1):} Discuss the differentiability of f(x) at x = 1 .

The function f(x)={(2,xle1),(x,xgt1):} is not differentiable at

find the values of a and b , such that f(x) ={ax^2+1,xle1 and x^2+ax+b , x gt1 is differentiable at x=1

find the values of a and b , such that f(x) ={ax^2+1,xle1 and x^2+ax+b , x gt1 is differentiable at x=1

If f(x)={{:(e^(2x^(2)+x),":",xgt0),(ax+b,":",xle0):} is differentiable at x=0 , then