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I. Use limit denition to find I12] tor the function, 31.1} = 3.3! 43 + 1. Shaw detailed work for credit. 2. A coffee shop determines that the daily profit on scones obtained by charging .3 dollars per scene is H3] = 2[|32 + 1503 11]. The coffee shop currently charges $3.25 per scone. Find P[3.25}. the rate of change of profit when the price is $3.25. and decide whether or not the coffee shop should consider raising or lowering its prices on scones. 3. Use Desmcs to graph a cubic polymmiat function. x) of your choice and it's derivative, f'(:] and explain the changes that happened. For example. if: = a I: where fix) has an extreme value Erna: or min} then what happened to file} at z = 6. Explain the loll-owing: 0 ll Hz) is increasing a-r decreasing in an interval then what happen: to {11) in those intervals? 0 Isf[:r) above or below the xaxis. and why? Then repeat with the graph a polynomial function. f{z) ofdegree 4 and repeat the same exercises. Show your work in lull for maximum credit. 4. For the following exercises. the given limit represents the derivative of a function y f{1)atx = 3. Find [(1) and a. i} lintll+hlw_l illm it' in Hm [2+h} -1s h-u- h 5. Use derivative rules to nd the derivative with] = 3113) _ 29-{1} _ gaf{z} + Show steps for full credit. 6. Find the values ofzat which the graph afx) = 4x" ~ 32 + 2 has a tangent line parallel to the line-y = 2: + :1 Show detailed mutterfull credit. 2'. Find the equation of a line tangent to the graph Glitz] - cat: at z trial Show all stepstoreceive full credit. 3. Find the derivathre of x] = 2m: 3mg. Show all steps to receive full credit 9. Find the derivative of the following functions [show all the steps For full credit]: in HI) = ii} x) = Iain