1. Find a formula for an original function f(:l:} given that we know the derivative has to be f'[:1:) = .752. 0 Just guess! Try a formula for x) and take the derivative. Did you get .132 forthe derivative of your function? (If not, try another function!) 2. Now use your at) from above to create a new function with the formula 9(a) = f(x) + 8. if you did not nd z) above, then use the formula f(2:) = 1;. How do the derivatives compare? That is, how does f'(a:) compare to g'(m)? 3. How many functions share 2:2 as their derivative? (Hint: try some other numbers in place of '8' above.)