Page 26 - E-Modul ajar matematika

CONTOH SOAL 2. Tentukan f’(x) dari:

3
( ) = (3 − 5)√4 − 10

Jawaban

2 1
= 3 − 5 = √ 4 − 10 = (4 − 10) 2

1
1 3
1
−
−1
u’ = 3 = (4 −10) 2 .(4)= (4 − 10) 3 3
′
3
2
4
= (4 − 10) 3
3
f’(x) = u’v + uv’
1 4 2
f’(x) = 3. (4x – 10) 3 + (3 − 5. (4 − 10) 3
3

1 4
f’(x) = (4x - 10) 3 (3 + (3 − 5)(4 − 10) )
−1
3

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