Find the equation of the tangent line to graph fx 2x3 2x2

Question

1. Find the points where the tangent to the graph of the equation y = 1/3 x³ + 3/2 x² + 2x is horizontal.

2. Find the equation of the tangent line to graph f(x) = 2x³ + 2x² + 10 at point (-2, 2).

3. Find the slope of the tangent line to the graph of y = 1/x at (3, 1/3).

4. What is the slope of the normal to f(x) = 2x² + x at point (3, 21)?