ECON 11A Quiz: ECON11A Quiz 2 2015 Winter Solutions
Document Summary
January 23, 2015: compute the derivatives of the functions below. (a) (2 pts) f (x) = 3x3 x2 + 4x + 7, (b) (2 pts) g(t) = 5 . 5 t 3/5 4t 2 f(cid:48)(x) = 3(3x2) 2x + 4 = 9x2 2x + 4 (c) (2 pts) y = y(cid:48) = 3. 4 x 1, so: (4 pts) find the equation of the tangent line to the graph y = 1. 4 x2 + 1 at the point on the graph where x = 2. Recall: the equation of the line tangent to the graph y = f (x) at the point (x0, y0) is given by as follows from the point-slope formula. y = f (x0) + f (cid:48) (x0)(x x0) In this problem, x0 = 2 and f (2) = 1 f(cid:48)(2) = 1, so the equation of the tangent line is. 2 x, so y = 2 + 1 (x 2) or y = x.
