" Ques "quad y=(x^(2)-x+1)/(x^(2)-2x+3)

Find the greatest and least value of y= x^(3)-3x^(2) + 6x-2 on [-1,1] y is differentiable function of x and y'(x) = 3x^(2) -6x + 6= 3(x^(2) -2x+2) =3(x-1)^(2) gt 0 .

If y=(x^(2//3)-x^(-1//3))/(x^(2//3)+x^(-1//3))," then "(x+1)^(2)y_(1)=

x-y relation is given by y=x^(n) calculate the value of n in the following :- (i) y=(x^(2))/(x^(2//3)) (ii) y=(x^(3//2))/(x^(1)) (iii) y=(x^(1//2))/(x^(1//2)) (iv) y=(x^(3//2))/(sqrt(x))

x-y relation is given by y=x^(n) calculate the value of n in the following :- (i) y=(x^(2))/(x^(2//3)) (ii) y=(x^(3//2))/(x^(1)) (iii) y=(x^(1//2))/(x^(1//2)) (iv) y=(x^(3//2))/(sqrt(x))

x-y relation is given by y=x^(n) calculate the value of n in the following :- (i) y=(x^(2))/(x^(2//3)) (ii) y=(x^(3//2))/(x^(1)) (iii) y=(x^(1//2))/(x^(1//2)) (iv) y=(x^(3//2))/(sqrt(x))

Find each of the following products: (i) (x - 4)(x - 4) (ii) (2x - 3y)(2x - 3y) (iii) ((3)/(4) x - (5)/(6) y) ((3)/(4)x - (5)/(6) y) (iv) (x - (3)/(x)) (x - (3)/(x)) (v) ((1)/(3) x^(2) - 9) ((1)/(3) x^(2) - 9) (vi) ((1)/(2) y^(2) - (1)/(3) y) ((1)/(2) y^(2) - (1)/(3) y)

y=|1+{x}| and 3y=|-2x^(2)+5x+3| for -(1)/(2)

If x and y are of same sign,then the value of (x^(3))/(2)cos ec^(2)((1)/(2)(tan^(-1)x)/(y))+(y^(3))/(2)sec^(2)((1)/(2)(tan^(-1)y)/(x)) is equal to (x-y)(x^(2)+y^(2)) (b) (x+y)(x^(2)-y^(2))(x+y)(x^(2)+y^(2))*(d)(x-y)(x^(2)-y^(2))

"Find the value of "(x+y)," if "(x+(y^(3))/(x^(2)))^(-1)-((x^(2))/(y)+(y^(2))/(x))^(-1)+((x^(3))/(y^(2))+y)^(-1)=(1)/(3)