Page 1 of 3 MATH 1431 EMCF 6 Due 11/02 at 11:59 pm Covers 4.3 and 4.4 Log into CASA and access the answer sheet by clicking on the EMCF tab. Choice F is “None of the above” on all questions. 1. Evaluate 1f' if 12/xf x e ln x . a. 1e b. 11e c. 1e d. 11e e. 2e 2. Find f ' 2( )if f x( )= x ln x2- 3( ). A. 0 B. 2 C. 4 D. 6 E. 8 3. Find 22' if 5log 3f x f x x. A. ln522x B. ln10x2 C. ln10 2x D. ln15 2x E. ln5x2Page 2 of 3 4. 23( 2)ln ; ?7x x dffxdxx a. )7(2322232222xxxxxx b. )7(23221322xxxxx c. )7(2322232222xxxxxx d. )7(23221322xxxxx e. 1x+2xx2+ 2-3x22 x3- 7 5. If sin xf x x, then 'f (Hint: Use logarithmic differentiation!) A. ln B. ln C. 2ln D. ln E. ln 6. If f 2xxx, find the value of f' 1. A. e – 1 B. 2 C. ee – 1 D. e + 1 E. ePage 3 of 3 7. Find tan arcsin13: A. 223 B. 22 C. 24 D. 23 E. 22 8. Find sin arcsin5213: A. 60169 B. 120169 C. 1213 D. 1013 E. 144169 9. If f arcsinxx2, find the value of f' 1. A. 233 B. 36 C. 33 D. 23 E. 32Page 4 of 3 10. If f secx arc 3x, find the value of f ' ?2. A. 12 17 B. 12 35 C. 16 35 D. 32 35 E. 16
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