(iv)(1)/((x-2)sqrt(x^(2)-4x+3))

Differentiate the following functions with respect to x:(x^(2)+x+1)^(4)sqrt(x^(2)+x+1) (iii) sin^(3)x( iv) (1)/(sqrt(a^(2)-x^(2)))

int_(1)^(2)(dx)/(sqrt(x^(2)+4x+3))

lim_(x to oo ) (sqrt(3x^(2)-1)-sqrt(2x^(2)-3))/(4x+3)

lim_(x to oo ) (sqrt(3x^(2)-1)-sqrt(2x^(2)-3))/(4x+3)

Evaluate: lim_(x rarr oo)(sqrt(3x^(2)-1)-sqrt(2x^(2)-1))/(4x+3)

Evaluate the following limits : Lim_(x to oo) (sqrt(3x^(2)-1)-sqrt(2x^(2)-1))/(4x+3)

Evaluate the following limits : Lim_(x to oo) (sqrt(3x^(2)-1)-sqrt(2x^(2)-1))/(4x+3)

Evaluate : (i) int((x-1))/(sqrt(x+4))dx (ii) intxsqrt(x+2)dx (iii) f(4x-2)sqrt(x^(2)+x++1)dx (iv) int((4x+3))/(sqrt(2x^(2)+3x+1))dx

Which of the following expressions are polynomials ? In case of a polynomial , write its degree. (i) x^(5)-2x^(3)+x+sqrt(3) (ii) y^(3)+sqrt(3)y (iii) t^(2)-(2)/(5)t+sqrt(5) (iv) x^(100)-1 (v) (1)/(sqrt(2))x^(2)-sqrt(2)x+2 (vi) x^(-2)+2x^(-1)+3 (vii) 1 (viii) (-3)/(5) (ix) (x^(2))/(2)-(2)/(x^(2)) (x) root(3)(2)x^(2)-8 (xi) (1)/(2x^(2)) (xii) (1)/(sqrt(5))x^(1//2)+1 (xiii) (3)/(5)x^(2)-(7)/(3)x+9 (xiv) x^(4)-x^(3//2)+x-3 (xv) 2x^(3)+3x^(2)+sqrt(x)-1

If x is a solution of the equation sqrt(2x+1)-sqrt(2x-1)=1(x>=(1)/(2)) then sqrt(4x^(2)-1)=( i) (3)/(4)( ii) (1)/(2)( iii) 2 (iv) 2sqrt(2)