If `y=x-x^2,` then the derivative of `y^2` with respect to `x^2` is (a)`1-2x` (b) `2-4x` (c)`3x-2x^2` (d) `1-3x+2x^2`

Find the derivative of function 3a x^2+2b x+c=y with respect to x

The derivative of cos^(-1)(2x^2-1) with respect to cos^(-1)x is (a) 2 (b) 1/(2sqrt(1-x^2)) (c) 2//x (d) 1-x^2

Differentiate cos^(-1)(4x^3-3x) with respect to x , if x in (-1/2,1/2)

Differentiate sin^(-1)(3x-4x^3) with respect to x , if -1/2

The equation of the directrix of the parabola y^2+4y+4x+2=0 is (a) x=-1 (b) x=1 x=-3/2 (d) x=3/2

The first derivative of the function [cos^(-1)(sinsqrt((1+x)/2))+x^x] with respect to x at x=1 is (a) 3//4 (b) 0 (c) 1//2 (d) -1//2

How much is -2x^2+x+1 less than x^2+2x-3? (a) x^2+3x-2 (b) 3x^2+x-4 (c) -3x^2-x+4 (d) 3x^2+3x-4

The anti derivative of (sqrt(x)+1/(sqrt(x))) equals(A) 1/3x^(1/3)+2x^(1/2)+C (B) 2/3x^(2/3)+1/2x^2+C (C) 2/3x^(3/2)+2x^(1/2)+C (D) 3/2x^(3/2)+1/2x^(1/2)+C

The ellipse 4x^2+9y^2=36 and the hyperbola a^2x^2-y^2=4 intersect at right angles. Then the equation of the circle through the points of intersection of two conics is (a) x^2+y^2=5 (b) sqrt(5)(x^2+y^2)-3x-4y=0 (c) sqrt(5)(x^2+y^2)+3x+4y=0 (d) x^2+y^2=25

x=2, y=−1 is a solution of the linear equation (a) x+2y=0 (b) x+2y=4 (c) 2x+y=0 (d) 2x+y=5