Solve the below:
THE DIFFERENTIATION OF ALGEBRAIC FUNCTIONS
Q1: Use implicit differentiation to find the dy/dx:
3xy + x2y2 = 1
xy1/2 - 2x + y = 8
(x + y)3 = x3 + y3
3y2 + 5x2 -2x = 5
y4 = x3y2 + x2y3 - 3
Q2: Find the indicated higher order derivative of the following functions:
1. Find the 2nd derivative of f(x) = 7x^5 - 4x^3 - 2x^2 - 5
2. Find the 6th derivative of f(x) = 2x^5 - 3x^3 + 4x^2 + 2x - 3
3. Find the 1st and 2nd derivative of f(x) = sqrt(x^2+1)