If `f(x)= |x - 1| + |x - 3|,` then `f'(2)=` (i)`-2` (ii)`-1` (iii)`0` (iv)`2`

f'(x)(1+x^(2))=1 and g is the inverse of f then g'{f(2)}=(i)0(ii)2(iii)4(iv)5

If f(x)=mx+c and f(0)=1=f'(0) then f(-2)= (i) 1 (ii) -1 (iii) 3 (iv) +-1

If g(x)=(x^(2)+3x+1)f(x),f(0)=3 and lim_(x rarr0)(f(x)-3)/(x)=2 then g'(0)=(i)3(ii)12(iii)6(iv)11

If f(2)=2,f'(2)=1. then lim_(x rarr2)(2x^(2)-4f(x))/(x-2)=(i)-4(ii)-2(iii)2(iv)

Let f(x)={:{(x+2",",xle-1),(cx^(2)",",xgt-1):} If Lt_(xto-1) f(x) exists, then c is (i) -1 (ii) 1 (iii) 2 (iv) -2

If f= {(1, 2), (2, -3), (3, -1)} then find: (i) 2f, (ii) 2+f , (iii) f^(2) , (iv) sqrt(f)

For all values of x and y, if f(x+y)=f(x).f(y),f(5)=2 and f'(0)=3 the value of f'(5) is: (i)5(ii)6(iii)2(iv)0

If f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1))|, then f(100) is equal to - (i)0 (ii)1 (iii)100 (iv)-100

If f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1))|, then f(100) is equal to - (i) 0 (ii) 1 (iii) 100 (iv) -100