maths

Posted by s on Apr 17, 2012; 10:35pm
URL: http://discussion-forum.276.s1.nabble.com/maths-tp7475141.html

hey please let me know what answers you get for the following..

1.the set of all x satisfying |x^2-4|>4x
a. x<2root2-2 or x>2root2+2
b. x>2root2+2
c. x<-2root2+2 or x>2root2+2
d. none

2.the number of points at which the function is not differentiable
    f(x)= { min{|x|, x^2} if -infinity<x<1 , min{2x-1, x^2 otherwise }
               
a. 0  
b.1
c.2
d.>2

3. let f(x) = { x^3-x+3 for 0<x<=1, 2x+1 for 1<x<=2, x^2+1 for 2<x<3
then
a. f is differentiable at x=1 and at x=2
b. f is differentiable at x=1 not at x=2
c. f is differentiable at x=2 not at x=1
d. f is differentiable neither at x=1 nor x=2


4. if f(x-y)=f(x)/f(y), f'(0)=p and f'(5)=q then f'(-5) is
a. p^2/q
b. q/p
c. p/q
d. q