Big homework assignment this week, and luckily i was able to do most of the problems. However, there are these 3 that i just can't go right.

1. Equation is

a. Show that the derivative of the above equation is equal to

b. Write an equation of each horizontal tangent line to the curve.

c. The line through the origin with slope -1 is tangent to the curve at point P. Find the x and y coordinates of point P.

2. Equation is

a. Show that the derivative of the above equation is equal to

b. Show that there is a point P with x coordinate 3 at which the line tangent to the curve at P is horizontal. Find the y coordinate of P.

c. Find the value of the second derivative at the point P found in part b. Does the curve have a local maximum, a local minimum, or neither at the point P? Justify.

3. Equation is

a. Show that the derivative of the above euation is equal to

b. Find all the points on the curve whose x coordinate is 1, and write an equation for the tangent line at each of these points.

c. Find the x coordinate of each point on the curve where the tangent line is vertical.

Not easy, i know! Hopefully someone can help me out with some of these. Thanks in advance!!!!