Question Description
1.
If f(x) = 7x6cos-1x, find f '(x). (4 points)
2.
Find the derivative of e2x. (4 points)
3.
If f(x) = ln(1 – 5x), then find f '(x). (4 points)
4.
Find 
. (4 points)
5.
For f(x) = ecos(x) use your graphing calculator to find the number of zeros for f '(x) on the closed interval [0, 2π]. (4 points)
1.
Find y' if x = tan(y). (4 points)
2.
Find 
for x2 – y2 = xy. (4 points)
3.
If 3x2 + y2 = 7 then evaluate 
when x = 1 and y = 2. Round your answer to 2 decimal places. Use the hyphen symbol, -, for negative values. (4 points)
4.
Find 
if f(x) = (x + 2)7x. (4 points)
5.
Find the slope of the graph of the relation 2x3 – 3xy + y3 = -1 at the point (2, -3). (4 points)
You may not use your calculator for these questions.
- Use the limit definition to find f ′(x).
- Use the alternate limit definition,
with a = 2, to find the value of f ′(2). - Use the shortcut rules to find f ′(x).
- Find where the tangent line to f(x) is horizontal.
- Write the equation of the tangent line at x = 2.
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