(a) Find the slope of tangent to the curve y=3+4x^2-2x^3 at the point where x=a.
(b) Find equations of the tangent lines at the points (1,5) and (2,3).
(c) Graph the curve and both tangents on a common screen.
(a) m(TL) = dy/dx = 8x-6x^2
(i) at P(1,5); m(TL) = 2
(ii) at P(2,3); m(TL) = -8
(i) y = 2x +3
(ii) y = -8x+19
(c) now in this part of graphing i don't know how to graph the curve since it is raised to cube..i don't know either what kind of curve is this..