1. Suppose b, c, p are constants. Show that the linearization for f(x) = (1+bx 1+cx at a = 0 is N L(x) = 1+p(b- c)x. Then use L(x) to approximate f(0.1) for the function f (x) = 1+5x 1+6x 2. The linearizations of the differentiable functions f and g at point c are L1(x) = f(c) + f'(c)(x- c) and L2(x) = g(c) + g'(c)(x - c) respectively. (a) Find the product L1(2) L2(2). (b) Find the derivative of L1(x) L2 (x). (c) Evaluate the derivative found in part (b) at point c and simplify. (d) Does the expression in part (c) look familiar? What does this expression describe