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Find the derivative of y=tan-1(ex){“version”:”1.1″,”math”:”y=tan-1(ex)”}.

Given the function f(x)=x2x2+4{“version”:”1.1″,”math”:”f(x)=x2x2+4″}, select all of the statements that are true.

Select all of the functions such that  limx→∞f(x)=∞{“version”:”1.1″,”math”:”limx→∞f(x)=∞”}.

Given the function f(x)=112×4-2×2+15{“version”:”1.1″,”math”:”f(x)=112×4-2×2+15″}, select all of the following statements that are true:

Find the indefinite integral:  ∫x2x3+7dx{“version”:”1.1″,”math”:”∫x2x3+7dx”}

Why isn’t the function f(x)=-x-4{“version”:”1.1″,”math”:”f(x)=-x-4″} not differentiable for x=4{“version”:”1.1″,”math”:”x=4″}?    Be specific.

A point moves along the curve y=2×2+1{“version”:”1.1″,”math”:”y=2×2+1″} in such a way that the y value is decreasing at the rate of 2 units per second.  At what rate is x changing when x=32{“version”:”1.1″,”math”:”x=32″}.

Find the indefinite integral:   ∫4×7-5×4+3x7dx{“version”:”1.1″,”math”:”∫4×7-5×4+3x7dx”}

Select the conditions for a function to be continuous at a point.

1. x is the fifth digit of your UFID.  2. If you think there is a mistake in problem statement, write down your assumption, and solve your problem based on your assumption. 3. Enter your final answer in the box. If you don’t have a final answer or cannot finish solving the problem, put 0 in the box. 4. Show all your work on paper from the first page to the last page using webcam before you exit Honorlock. Once your exit Honorlock, you cannot change anything on your paper.  5. For non-DRC students, please finish this exam within 2 hours and submit it on “Exam 1 submission” before 9:05 pm. For any submission after 9:05, there will be 2 points off for every minute late. For DRC students, please finish this exam within the time you are allowed and and put your extra time allowed in the comment when you submit. 6. This is a close-book, close-note exam. Make sure you don’t have textbook, lecture notes, or homework solutions around you. Formula sheet is provided at the end of this exam. 7. Do not use Chegg or any other similar website. Any violation will be reported to Dean of Students Office directly.