1. Let f(x)= -x^3 - 2x^2 + x + 1 and g(x)= ln(x+1)+1
a. Find the equation of the line tangent to f at x=0
b. Show that g has the same tangent line as f at x=0
2. Given x=t^4 - t^2 + t and y=2t^3 - t, find dy/dx
3. Given x^2 + 3y^2 = 1
a. Find y'
b. Find the slope of the curve at the point (.5,.5)
c. Find the equation of the line tangent to the ellipse at (.5,.5)