Answers
1. y ʹ′ =
⎞
1 ⎛ 1
− ln x ⎟
x ⎜
⎠
e ⎝ x
2. y ʹ′ =
5
5x + 3
€
3. y ʹ′ = (96x 3 −18x )(8x 4 − 3x 2 )
€
€
4. f ʹ′(x) = 3e 2x (2x + 1)
5. f ʹ′(x) = 3 2x + 9; f ʹ′(0) = 9
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6. f ʹ′(x) = −
€
6
x2
7. -2
€
8. 3x 2
9. 0
€
10. (-2, -24); y=9x-6
2