HW Supplement: Exponentials Name 1. Find the derivatives. Show all work. Simplify your answers. a. f(x)=- x b. g(x)=e*+x² c. f(t)=(t-1)e³1+2 (hint: product rule) Doubling Time 2. Apply the Absolute Extrema Theorem to find the absolute extrema of k(x)=- [1,5], accurate to 4 decimal places. e* +e** on To find the critical points, you do not need to derive. You may use the CALC 3:min or 4:max feature of your calculator. Provide a sketch of the graph. (over) 3. Find the absolute minimum of p(x) on the indicated interval. Do without using a graphing tool. Show all work in finding the critical values on the interval and determining the sign of the derivative on the sub-intervals. ex/3 p(x)= on [1,∞). X Check by graphing on your calculator. If your answers do not conform, find and correct your error. DO NOT just change your answer.