Let `f(x) = { x^2; 0=3` then

Let f(x) = {{:(x^(2)/2", "0 lexlt1),(2x^(2)-3x+3/2", "1lexle2):} Discuss the continuity of f, f' and f'' on [0, 2].

(a)Let f(x)-2x^2+3x=5 ,then f'(0)+3f'(-1)=………..

Let f(x)={x^(2);0

Let f(x)=x^(2)-x-3=0 .Given f(a)=0 ; then the value of (a^(3)+1)/(a^(5)-a^(4)-a^(3)+a^(2)) equals

Let g(x)=f(f(x)) where f(x)={1+x;0<=x<=2} and f(x)={3-x;2

Let g(x) = f(f(x)) where f(x) = { 1 + x ; 0 <=x<=2} and f(x) = {3 - x; 2 < x <= 3} then the number of points of discontinuity of g(x) in [0,3] is :

Let f(x) = {(|x|, for 0 <|x| < 2)= 1,for x =0 } Then at x = 0, f (x) has

Let f(x)={1+x,0<==x<==2 and 3-x,2

Let f(x) = x^3/3-x^2/2+x-16 . Find f’(0), f’(-1).