i know how to get the derivative of this one, but i don't know what to do from there:

f(x) + x^2[f(x)]^3 = 10 and f(1) = 2, find f^(prime) (1)

i also don't know how to differentiate these, and find an equation of the tangent line to the curve at the given point:

1. x^2 + y^2 = (2x^2 + 2y^2 -x)^2 at (0, 1/2)

2. x^(2/3) + y^(2/3) = 4 at (-3sqrt3, 1)

3. 2(x^2 to y^2)^2 = 25(x^2 - y^2) at (3,1)

4. y^2(y^2 -4) = x^2(x^2 -5) at (0, -2)

if anyone could help me, i would be soo grateful...thanks!!