Question

Model 1: Solving fory Most of the functions we have seen in this course are like those in Table 1 (and the first three functions in Table 2): They can be written explicitly in terms of x. That is, the function can be written as a single equation in the form y-... or, alternatively, f(x)-... in terms of x only Table 1 Table 2 Same function solved for vin terms of x only y=2x + 4 y=x3-3x2 + 13x-7 18x+5y = 12x2-7t6 y=sin x f(x) = x-cos x Construct Your Understanding Questions (to do in class) 1. The first three functions in Table 2 can be written as explicit functions ofx. Solve these for y, and write the new equations explicitly in the form y- on the right side of Table 2. (Note: The last two equations in Table 2 cannot be uniquely solved for y in terms ofx, so these boxes are darkened.) 2. Take the derivative of the function you wrote in Row 1 of Table 2 f'(x) = 3. Recall that an alternate symbol for f(x) is y' a. Which one of the following is also an alternate symbol for f'(x)? dy dx dr ircle one, and explain your reasoning. or dy

Answer 1