[" If "f(x)=|x-a|+|x+b|,x in R,b>a>0," then "],[[" a) "f^(1)(a+)=1," b) "f'(a+)=0," c) "f^(1)(-b+)=0," d) "f'(-b+)]]

7. If f(x)=|x-a|+|x + b| , x in R,b>a>0 . Then (1) f'(a^+)=1 (2) f'(a^+)=0 (3) f'(-b^ +) = 0 (4) f(-b^+)=1

If f(x)=|[0,x-a, x-b], [x+a,0,x-c], [x+b, x+c,0]|,t h e n (a) f(a)=0 (b) f(b)=0 (c) f(0)=0 (d) f(1)=0

If f(x)=|0x-a x-b x+a0x-c x+b x+c0|,t h e n f(x)=0 (b) f(b)=0 (c) f(0)=0 f(1)=0

If f(x)=|0x-a x-b x+a0x-c x+b x+c0|,t h e n f(x)=0 (b) f(b)=0 (c) f(0)=0 f(1)=0

If f(x)=x^3+b x^2+c x+d and 0 < b^2 < c , then f(x) is

If f(x)=|(0, x-a, x-b), (x+a, 0, x-c),(x+b, x+c, 0)| , then

[" .et "a,b in R" and "f:R rarr R" be defined by "],[" " "(x)=a cos(|x^(3)-x|)+b|x|sin(|x^(3)+x],[" Then "f" is "],[" (A) "differentiable" at "x=0" ,if "a=0" and "b=],[" (B) differentiable at "x=1" ,if "a=1" and "b=],[" (C) "[" not differentiable at "x=0" ,if "a=1" and "],[b=0]],[" (D) not differentiable at "x=1" ,if "a=1" and "],[b=1]

If f''(x) le0 "for all" x in (a,b) then f'(x)=0

If f''(x) le0 "for all" x in (a,b) then f'(x)=0