[" (iii) "x^(-3)(5+3x)," (iv) "x^(5)(3-6x^(-9))],[" (v) "x^(-4)(3-4x^(-5))," (vi) "(2)/(x+1)-(x^(2))/(3x-1)]

Expand using binomial theorem: (i) (1-2x)^(4) " " (ii) (x+2y)^(5) (iii) (x-(1)/(x))^(6) " "(iv) ((2x)/(3)=(3)/(2x))^(5) (v) (x^(2) +(2)/(x))^(6)" "(vi) (1+(1)/(x^(2)))^(4)

Find the derivative of i) 2x-3/4 ii) (5x^(3)+3x-1)(x-1) iii) x^(-3)(5+3x) iv) x^(5)(3-6x^(-9)) v) x^(-4)(3-4x^(-5))

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)

Check whether the following are quadratic equation (i) (x+1)^2=2(x-3) (ii) x^2-2x=(-2)(3-x) (iii) (x-2)(x+1)=(x-1)(x+3) (iv) (x-3)(2x+1)=x(x+5) (v) (2x-1)(x-3)=(x+5)(x-1) (vi) x^2+3x+1=(x-2)^2 (vii) (x+2)^3=2x(x^2-1) (viii) x^3-4x^2 – x + 1 = (x – 2)^3

Check whether the following are quadratic equation (i) (x+1)^2=2(x-3) (ii) x^2-2x=(-2)(3-x) (iii) (x-2)(x+1)=(x-1)(x+3) (iv) (x-3)(2x+1)=x(x+5) (v) (2x-1)(x-3)=(x+5)(x-1) (vi) x^2+3x+1=(x-2)^2 (vii) (x+2)^3=2x(x^2-1) (viii) x^3-– 4x^2 – x + 1 = (x – 2)^3

Find (dy)/(dx) for the following : (i) y=x^(7//2) (ii) y=x^(-3) (iii) y=x (iv) y=x^(5)+x^(3)+4x^(1//2)+7 (v) y=5x^(4)+6x^(3//2)+9x (vi) y=ax^(2)+bx+C (Vii) y=3x^(5)-3x-1/x

Find (dy)/(dx) for the following : (i) y=x^(7//2) (ii) y=x^(-3) (iii) y=x (iv) y=x^(5)+x^(3)+4x^(1//2)+7 (v) y=5x^(4)+6x^(3//2)+9x (vi) y=ax^(2)+bx+C (Vii) y=3x^(5)-3x-1/x

Find (dy)/(dx) for the following : (i) y=x^(7//2) (ii) y=x^(-3) (iii) y=x (iv) y=x^(5)+x^(3)+4x^(1//2)+7 (v) y=5x^(4)+6x^(3//2)+9x (vi) y=ax^(2)+bx+C (Vii) y=3x^(5)-3x-1/x

Obtain the differential coefficient of the following : (i) (x-1) (2x+5) (ii) (9x^(3)-8x+7)(3x^(2)+5) (iii) 1/(2x+1) (iv) (3x+4)/(4x+5) (v) (x^(2))/(x^(3)+1)

(i) (2x+3) (3x-5) (ii) x(1+x)^(3) (iii) (sqrtx + 1/x) (x -1/sqrtx) (iv) (x-1/x)^(2) (v) (x^(2) + 1/x^(2))^(3) (vi) (2x^(2) +5x-1) (x-3)