Can someone please show all the work for these problems! thank you!

q1 - 3 : dy/dx by implicit differentiation

1.) x^4 + x^2y^2 + y^3 = 5

2.) sin(x) + cos(y) = 2x -3y

3.) sqrt(x+y) = x^4 + y^4

q4 : Find an equation of the tangent line to the curve at the given point

4.) y = ln(x^2 - 3x +1) , (3,0)

q5-6 :Use logarithmic differentiation to find the derivative of the function.

5.) y = sqrt x-1/x^4+1

6.)y = x^sinx

q7-8 :Find the derivative of the function. Simplify where possible.

7.) f(x) = sin^-1(5x)

8.)y=tan^-1 sqrt(x-1)