Hi there

Please help me solve these problems. I tried, but I can't figure them out.

1) If $\displaystyle y$ is a differentiable function of $\displaystyle x$ then the slope of the tangent to the curve $\displaystyle xy-2y+4y^2=6$ at the point where [tex]y=1[tex] is..?

2)Find the point on the graph of y=x^(1/2) between (1,1) and (9,3) at whtich the tangent to the graph has the same slop as the line through (1,1) and (9,3)

3) Let f and g be differential functions such that :

f(1) = 4

g(1) = 3

f'(3) = -5

f'(1)= -4

g'(1)= -3

g'(3) = 2

If h(x) = f(g(x)), then h'(1) =

4) Find the derivative and the equation of the tangent line to $\displaystyle 3x^2-3xy+2y^2=2$

5) Find the second derivative of $\displaystyle y^2=x^2-2x$

6) Use the tangent line approximation of y= square root of x at x=16 to find the approximate value of the square root of 17

And also, what does differentiable mean? How can you tell on a graph if a point is differentiable or not?

Thanks for the help