Let `f(x)={1,\ \ \ \ \ xlt=-1|x|,\ \ \ -1

Let f(x)={a x^2+1,\ \ \ \ \ x >1 , \ \ \ \ x+1//2,\ \ \ \ \ xlt=1 Then, f(x) is derivable at x=1 , if a=2 (b) b=1 (c) a=0 (d) a=1//2

The points of discontinuity of the function f(x)={1/5\ (2x^2+3)\ ,\ \ xlt=1 ,\ \ \6-5x ,\ \ 1< x

Let f(x)={(1, AA, xlt0),(1+sinx, AA, 0lexlepi//2):} then what is the value of f'(x) at x=0 ?

Find the points of discontinuity, if any, of the following function: f(x)={-2 , if xlt=-1 2x , if-1

f:[0,\ 1]->R is defined as f(x)=[x^3(1-x)sin(1/(x^2))\ \ \ if\ 0

If f(x)=[x+1,\ xlt=1 ,3 -a x^2,\ x >1 is continuous at x=1 then find the value of adot

If f(x)={x ,\ xlt=1x^2+b x+c ,\ x >1 , then find the values of b\ a n d\ c if f(x) differentiability at x=1.

Let F(x) = x|x| , x = 1 then