Question

球兒

第五題的c 及第六題
謝謝

5.複選題(10 分) 中
For each of the following f, which of the
following f'(a) are correct for the given a?
A |ƒ(x) = 3x¹/³ — 5x²/³, a = 27, f'(a) = −1
B f(x) = (x²+3)(x³ + 2), a = 1, ƒ'(a) = 6
C | f(x) = 22²±3x=5, a = 1, ƒ'(a) = −10
x²-7x+5'
D f(x)=²+1,
-
2x-3'
a = = 2, f'(a) = 1
E | ƒ(x) = x³ – 4x, a = 1, ƒ'(a) = −1
@ 答題情況
1: A, C, E
回答正確 本題得分: 10
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6.填空題(10 分) 中
If f(2) = 2, f'(2) = 1, g(2) = 1 and g(2) = 2 and
define h(x) =
xf(x) then find h' (2)
g(x)
14
@ 答題情況
回答錯誤 本題得分: 0
正確答案
,
1. -4
= 1

微積分

Answer 1

我就是我

公式：
[f(x)*g(x)]’=f’(x)g(x)+f(x)g’(x)
[f(x)/g(x)]’=[f’(x)g(x)-f(x)g’(x)]/g(x)²