1、f(x)= 3x⁴ + 5x² - 7
f '(x)= 12x³ + 10x
6x+3
2、f(x)=―――――
2x-9
-60
f '(x)=――――――――
4x²-36x+81
₇____
3、f(x)= √ (8x-5)⁶
48
f '(x)=―――﹦﹦﹦﹦﹦﹦﹦﹦﹦﹦﹦
7× ⁷√ 8x-5
4、f(x)= (4x + 1)¹⁰ ×(2x - 1)²⁰
f '(x)= 10(4x+1)⁹×4×(2x-1)²⁰+(4x+1)¹⁰ ×20×(2x-1)¹⁹×2
= 240x(4x+1)⁹×(2x - 1)¹⁹
5 11
5、f(x)=―― - ―――
x² x
11x-10
f '(x)=――――――
x³
_ _
6、f(x)= 3√x - 2∛x
3 ⁻½ 2 ⁻⅔
f '(x)=――x - ――x
2 3
2
7、f(x)=―――――――
(x²-x+3)⁵
-2×5(x²-x+3)⁴×(2x-1)
f '(x)=――――――――――
(x²-x+3)¹⁰
-20x+10
=――――――
(x²-x+3)⁶
8、f(x)= x⁵ (3x² - 2x - 9)
f '(x)= 5x⁴ (3x² - 2x - 9)+x⁵ (6x - 2)
= 21x⁶ - 12x⁵ - 45x⁴
9、f(x)=(3x+2)(3x-2)(9x²+4)
=(9x²-4)(9x²+4)
=(9x²)²-4²
=81x⁴-16
f '(x)=324x³
____
/ x - 1
10、f(x)= /――――
√ x + 1
1
f '(x)=―――――――――――
____
/ x - 1
(x+1)² /――――
√ x + 1
This entry passed through the Full-Text RSS service — if this is your content and you're reading it on someone else's site, please read the FAQ at fivefilters.org/content-only/faq.php#publishers.
留言列表