" 11."f(x)={[x^(3)-3,," if "x<=2],[x^(2)+1,," if "x>2]

Find the approximate values of : f(x)=x^(3)+5x^(2)-7x+10" at "x=1.1 .

If f(x)=x^((2)/(3)), x in [-1,1] , then

Verify the Lagrange's theorem for the following functions: (a) f(x) = x^(3) in [-1,1] (b) f(x) = sin x in [0,pi/2] ( c) f(x) = x^(n) in [-1,1], n in Z^(+) ( d) f(x) =2x^(2) - 7x + 10, x in [2,5]

If f'(x)= x-(3)/(x^(3)), f(1) = (11)/(2) find f(x)

If f (x, y) = 2x ^ (3) -11x ^ (2) y + 3y ^ (3), show that: x (delta f) / (delta x) + y (delta f) / (delta y ) = 3f (x, y)

If f (x, y) = 2x ^ (3) -11x ^ (2) y + 3y ^ (3), show that: x (delta f) / (delta x) + y (delta f) / (delta y ) = 3f (x, y)

If f(x,y) =2x^(3) - 11x^(2)y + 3y^(3) , prove that x(del f)/(del x) + y(del f)/(del y)=3f .

Let f: [1/2, 1] to [-1,1] is given by f(x) =4x^(3)-3x and f^(-)(x) is given by: