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`

Differentiate with respect to x: y=2x^4+3x^2+2x+9

The derivative of sin^(-1) (2x sqrt(1-x^(2))) with respect to ltbr. sin^(-1)(3x - 4x^(3)) is

If the lines 2x+3y+1=0 and 3x-y-4=0 lie along diameters of a circle of circumference 10 pi ,then the equation of the circle is (A) x^(2)+y^(2)-2x+2y-23=0 (B) x^(2)+y^(2)+2x-2y-23=0 (C) x^(2)+y^(2)+2x+2y-23=0 (D) x^(2)+y^(2)-2x-2y-23=0

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

If 2x-1/(3x)=y then 9x^2+1/(4x^2) in terms of y is

Find the equation of the tangent line to the curve y=(3x^2-1)/x at the point (1,2) is (a) 4x-y-1=0 (b) 4x+y+2=0 (c)x-y-1=0 (d) 4x-y-2=0

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 straight line y+x=1 touches the parabola (A) x^(2)+4y=0 (D) x^(2)-x+y=0 (C) 4x^(2)-3x+y=0( D ) x^(2)-2x+2y=0