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

Find the derivative of y= 2x^2+4x^-1/2-3x^-2

Find the derivatives w.r.t. x : y=(1-x)(1-2x)(1-3x^(2))

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

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 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

If [2x+y,4x,5x-7 4x]=[7 7y-13 y x+6] , then the value of x+y is x=3 , y=1 (b) x=2 , y=3 (c) x=2 , y=4 (d) x=3 , y=3

If x,y,zepsilonR then the value of |((2x^(x)+2^(-x))^(2),(2^(x)-2^(-x))^(2),1),((3x^(x)+3^(-x))^(2),(3^(x)-3^(-x))^(2),1),((4^(x)+4^(-x))^(2),(4^(x)-4^(-x))^(2),1)| is

If x,y,zepsilonR then the value of |((2x^(x)+2^(-x))^(2),(2^(x)-2^(-x))^(2),1),((3x^(x)+3^(-x))^(2),(3^(x)-3^(-x))^(2),1),((4^(x)+4^(-x))^(2),(4^(x)-4^(-x))^(2),1)| is