Let `|(3,y),(x,1)|=|(3,2),(4,1)|`, find the possible values of `x,y,epsilonN`.

If x[(2),(3)]+y[(-1),(1)]=[(10),(5)] , then find the values of x and y.

If 4x+y=5 ,then find the greatest value of 1/3(xy) .

Find the derivate of : y = sin^-1(3x-4x^3)

Find the derivate of y = (3 - 2x)sin^(-1)2x .

Find the derivatives of y=4x^3-2/x^2+xsqrtx

If sin^(-1)x +sin^(-1)y =(2pi)/(3) , then find the value of cos^(-1)x +cos^(-1)y .

If sin^(-1) x +sin^(-1)y +sin^(-1) z =(3pi)/(2) , then find the value of x^(100) +y^(100) +z^(100) -(9)/(x^(101)+y^(101)+z^(101)) .

If y = cos^(3)(sin x) , find the value of (d y)/(dx) at x=(pi)/(4) .