Find the derivatives of the following :
`x=a(cost+tsint), y=a(sint-tcost)`

Find the derivatives of the following : x^(y)=y^(x)

Find dy/dx of the following x=a(t-sint) , y=a(1-cost)

Find (d^(2)y)/(dx^(2)) in the following x=a(cost+tsint),y=a(sint-tcost)

Find dy/dx for the following. x=a(t-sint),y=a(1+cost) .

If x and y are connected parametrically by the equations given in, without eliminating the parameter, find dy/dx . x=a(cost+tsint),y=a(sint-tcost)

Find dy/dx of the following y=e^tcost , x=e^tsint

The distance from the origin of the normal to the curve x=2cos t+2tsint , y=2sint-2tcost , at t=(pi)/4 is