Assignment:
Q1. Determine dy/dx for each of the following relations.
a) 9x2-16y2=1
b) y3+5xy+x3=1
Q2. Determine the slope of the curve 8x3+3xy+8y3=19 at the point (1,1).
Q3. Determine the equation of the tangent to the given curve at the given point.
x2-y2-x=1 at (2,1)
Q4. Determine the equation(s) of the tangent(s) to xy+y=8 having slope -1/2.
Provide complete and step by step solution for the question and show calculations and use formulas.