" (d) "y=sqrt(3x^(2)+4x+5)

If y=sqrt(((x-3)(x^(2)+4))/((3x^(2)+4x+5))) , find (dy)/(dx) .

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

Differentiate the following function : (i) (x^(2) - 5x + 6)(x-3) , (ii) (sqrt(x) + 1/(sqrt(x)))^(2) , (iii) (3x^(2) + 2x + 5)/(sqrt(x))

The derivation of sqrt(((x-3)(x^(2) +4))/(3x^(2) + 4x + 5)) with respect to x is a .

int(dx)/(sqrt(4x^(2)-3x+5))

int(dx)/(sqrt(4x^(2)-3x+5))

int(dx)/(sqrt(4x^(2)-3x+5))

" (c) int(dx)/(sqrt(4x^(2)-3x+5)

The equation of the tangents to the ellipse 4x^2 + 3y^2 = 5 , which are inclined at 60^0 to the X-axis are : (A) y = x/sqrt(3) +- sqrt(65/12) (B) y = sqrt(3) +- sqrt(65/12) (C) y = sqrt(3)x +- sqrt(12/65) (D) none of these

Area common to the curves y=x^3 and y=sqrt(x) is (A) 5/12 (B) 5/4 (C) 5/2 (D) none of these