3. Find the first, the second and the third derivatives of: (a) f(x) = 1 / (8x+5) (b) g(x) = cos3x 4. Given the implicit relation: x^2+ y^2 - 16x - 12y = 0 . They let you know that the graph of this relation is a circle. (a) Let C (h, k) be the center and R be the radius of the circle. Write the given implicit relation under the standard form (x - h)^2 + (y - k)^2 = R^2 (b) Sketch the circle. (e) Find the slope of the circle at point B (0, 12) (d) Find the equation of the tangent line to the circle at B.
