[SOLVED] Calculus I – Spring 2014 Midterm Exam II Processing

Calculus I – Spring 2014

Midterm Exam II, April 21, 2014

1. If f(x) = x + cos x, then (f
−1
)
′
(1) is

2. Let f(x) = 1 − 2 3√x, then f
−1
(x) is

3. Compute the linearization of f(x) = √xex−1
at a = 1.

4. If f(x) = (2 − x)
x
, then f
′
(x) is

5. Find the slope of the tangent line at the point (1, 1) on the graph of e
x−y = 2x
2 − y2.

6. If f(x) = 21+arctan x
, then f
′
(x) is

7. Find the differential of f(x) = √1 − 2x.

8. Let f(x) = arcsin x, then f
−1
(x) is

9. Find lim x→
√
3
+ 5
1/(3−x
2).

10. Find lim x→
√
3
+ 5
1/(x
2−3).