Answer all, please

\f3. Find dy for the following curves. a. y = (1-23)3 b. y = -2 V2+x 4. Let f(x) = 1 and g(x) = 3x' + 1. Find h'(x), where h(x) = f(g(x)). 5. Find d dt (v3t - 2) att = 2. 6. Find the equations of all horizontal lines that are tangent to the curve y = c+3 7. For each of the following functions, find an equation for the tangent line to the curve at the indicated point. a. f(x) = vx2 + 2x + 8 at the point (2, 4). b. f(x) = V3x3 + 4x at the point (2, 2). 8. Given that g(2) = 4, g'(2) = -1, h(2) = 2, and h'(2) = 3, find f'(2) if a. f(x) = (g(x))3 b. f(x) = g(h(x))9. Find the equation of the tangent line to the graph of f(x) = (2 - 3) (x3+ 9) at the point on the curve whose - coordinate is -2