1. Find the derivative of ln ( e5 x+1
( 3 x−4)(2 x2+ 11) ) Hint: Apply the laws of logs before trying calculus.
2. An investment that requires $5000 now is promised to pay 8% interest for ten years
compounded continuously. How much money will the investment be worth at the end?
Do not use a calculator- exact answers only using the compound interest formula!
3. Find the derivative of e4 x+5
2 x3+ x
4. Find the second derivative of ln ( √ 5−2 x )
5. Sketch the graph of y=2x+1−3 Provide the equation of any asymptote, and plot at least two
points.
