(i) `x^(4)` (ii) `x^(-3)` (iii) ` 3x^(2)`

DIfferentiate (i) 3x^(-5) (ii) 1/(5x) (iii) root3(x^(2))

Find the derivative (i) x^(1//3) (ii) (2)/(x^(3//2)) (iii) 3x^(-1//4)

Which of the following are quadratic equations? x-(3)/(x)=x^(2) (ii) 2x^(2)-sqrt(3x)+9=0 (iii) x^(2)-2x-sqrt(x)-5=0

(i) 6x^(-2) (ii) (1)/(5)x^(5) (iii) (1)/(3x)

Factorise : (i) 12x^(2)-7x+1 (ii) 2x^(2)+7x+3 (iii) 6x^(2)+5x-6 (iv) 3x^(2)-x-4

Integrate the following w.r.t. x. (i) 4x^(3) , (ii) x-1/x , (iii) 1/(2x+3) , (iv) cos (4x+3) (v) cos^(2) x

Find (dy)/(dx) , when (i) y= sqrtx (ii) y= x^(5) + x^(4) + 7 (iii) y=x^(2)+ 4x^(-1//2)- 3x^(-2)

Classify the following as linear quadratic and cubic polynomial : (i)x^(3)+x^(2)+3 " "(ii) x^(2)+5 " "(iii) x^(3)-x " " (iv)3x " "(v)x+3

Find the values of the following expressions for x=2. (i) x+4 (ii) 4x-3( iii) 19-5x^(2) (iv) 100-10x^(3)

(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)