Let `f(x) =x^(2) -1` Find
` f^(@) f`
(ii) ` f^(@) f^(@) f`

Let f(x)= 3x -2 find (f(x+2) -f(2))/(x)

If f(x) = x^2 find ( f (1.1 ) - f(1) )/( (1.1-1))

Given f(x)=(x^(3)-1)/(x+2) , find i. f'(x) ii. f'(x) at x=1

If f'(x)=3x^2 -4x+5" and "f(1)=3 , then find f(x) .

A function f [-3, 7] rarr R is defined as follows f(x) = {{: (4x^(2) - 1, " " -3 le x lt 2 ),(3x -2, " " 2 le x le 4 ),(2x -3 , " " 4 lt x lt 7):} Find (i) f (5) + f(6) (ii) f(1) - f(-3) (iii) f(-2)-f(4) (iv) (f(3)+ f(-1))/(2 f(6) - f(1))

If f''(x) = 12x - 6 and f(1) = 30 , f' (1) = 5 find f(x)

Let f(x)=|x-1|dot Then (a) f(x^2)=(f(x))^2 (b) f(x+y)=f(x)+f(y) (c) f(|x|)-|f(x)| (d) none of these