" (i) "quad (x^(2))/(3)+(8x)/(3)+5

(2x)/(5-3x)=(5+3x)/(8x)

lim_ (x rarr oo) ((2x ^ (2) +3) / (2x ^ (2) +5)) ^ (8x ^ (2) +3)

Check whether the following are quadratic equations : (1) (x-3)^(2)=x(2x-5) (2) (2x-3)(8x+1) = (4x+5)(4x-5) (3) (5x+3)(x-2)=(4x+3)(2x-1) (4) (2x+5)^(3)=8(x-1)^(3) (5) x^(2)+7x-8=x(x+5) (6) x^(3)+9x^(2)-7x+2=(x+3)^(3)

Differentiate the following functions: 12. 8x^(3) - x^(2) + 5 - (2)/( x ) + (4)/( x^3) .

Obtain the differential of the following : (i) (x-1) (2x+5) (ii) (9x^(3)-8x+7)(3x^(2)+5)

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)