MATH 205 Midterm: MATH 205 KSU Test 2s14

• School: Kansas State University
• Department: Mathematics
• Course: MATH 205
• Professor: All

Document Summary

You can use a note card with formulas prepared in advance. For full credit, show your work in detail. # 1 # 2 # 3 # 4 # 5 # 6 total. 100: (5 points for each part) di erentiate: (a) 2x. (b) 2x2 7. (c) 10e0. 3x (d) ex 1. 1 + x ( 2x) = 2; (2x2 7) = 2(x2) = 2 2x = 4x. (10e0. 3x) = 10(0. 3e0. 3x) = 3e0. 3x. (we are using the formula (ekx) = kekx. ) ( ex 1) =((ex 1)1/2) = 2 (any of last three answers is ne. We are using (f (x)a) = af (x)a 1f (x). ) (ex 1) . 2 ex 1 (x ln(2 + 3x)) = (x) ln(2 + 3x) + x(ln(2 + 3x)) = ln(2 + 3x) + x (2 + 3x) . We used the product rule and the formula (ln f (x)) = f (x)/f (x). 3 x) (1 + x) e (1 + x)2.