評量3.14

1. x³+c
2. x³/3+c
3. (b³-a³)/3
4. (b⁴-a⁴)/4
5. xlog₂x-1.4427x+1.4427
6. 0
7. 0
8. 0
9. 正

評量3.15

1. 存在,lim |x|= 0 = lim |x| 收斂於0
        x→0(+)      x→0(-)

2. 略
3. 略
4. 14x+3
5. 6x²-6
6. 26/3
7. (7/3)x³+(3/2)x²-x+c
8. (1/2)x⁴-3x²+2x+c
9. x³+2x²-x-2
10. (-1/3)x³+(5/2)x²-2x-1810/3
11. (7x⁶+25x⁴)(x⁶-2x³+2)+(x⁷+5x⁵)(6x⁵-6x²)

評量3.16

1. (1/2)x^(-1/2)
2. (1/3)x^(-2/3)
3. 8(t²+1)⁷(2t)
4. 100(1+sqrt(t))⁹⁹((1/2)t^(-1/2))
5. (1/2)(1-x²)^(-1/2)(-2x)
6. (3/4)x^(4/3)+c
7. 16/3
8. (-∞,(-1/2)-sqrt(13/6) ] or [ (-1/2)+sqrt(13/6),∞ )
9. y=5(x-7)-209 ; y=5(x+1)+7
10. y=2(x-2)+4 ; y=-6(x+2)+12
11. 7!

評量3.17

1. [(3z²+2z)(z⁴)-4z³(z³+z²-1)]/z⁸
2. (-1/3)z^-1+(1/4)z+c
3. [3,∞)　(or (3,∞))
4. [2x+3x²]/[4y³+1]
5. 4x ( or 6x-(y/x) )
   modified -> (-3x²-y)/(3y²-x)
6. y = (5/3)(x-5)+3
7. (-1,1/3)　(or[-1,1/3] )
8. (-1/4)x^(-3/2)
9. -6x^-4

評量3.18

1. (1/2)(1-cosx)^(-1/2)(sinx)
2. -sin(sinx)cosx
3. -sin(Θ²+1)(2Θ)
4. (ΘcosΘ-sinΘ)/Θ²
5. 5sin⁴ΘcosΘ
6. 2cos(2x)sin(3x)+3cos(3x)sin(2x)
7. 2/(4+x)
8. 4tan^-1x+c
9. (-1/2)cos(2x)+c
10. sinx
11. n!
12. cosx⁵(5x⁴)
13. (1/2)(1-x^(1/2))^(-1/2)((-1/2)x^(-1/2))