Determine the derivatives of the following inverse trigonometric functions:
f(x)= tan¹ √x
y(x)=in (x2cot -1x/√x-1
g(x)=sin -1(3x)+cos-1(x/2)
h(x)=tan-1(x-√x2+1
k(x)=(√7x3-5x2+x)cot -1(3-5x2)-9cosec-1(2-3x2)