Find `(dy)/(dx)` , when `x=acostheta` and `y=bsintheta`

Find (dy)/(dx) when y=x^y .

Find (dy)/(dx) , when y=log|x|

Find, (dy)/(dx) when y=x^x .

Find (dy)/(dx) , when y=sqrt(x)

Find (dy)/(dx) when x^y+y^x=a^b

Find (dy)/(dx) when 2x+3y=sin x

If x and y are connected parametrically by the equations given, without eliminating the parameter, Find (dy)/(dx) . x=acostheta, y=bcostheta

Find (dy)/(dx) , when: y=x^(sqrtx)

Find (dy)/(dx) when y=x^(siny)

Find (dy)/(dx) , when: y=x^(sinx)