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2019
Mathematics
JAMB
d/dx [log(4x
3
- 2x) ] is equal to
A.
(12x−2)/4x
2
B.
(43x
2
−2x)/7x
C.
(4x
2
−2)/7x+6
D.
(12x
2
−2)/4x
3
−2x
Correct Answer:
(12x
2
−2)/4x
3
−2x
Explanation
d/dx [log(4x
3
- 2x) ] ... (1) Let u = 4x
3
3 − 2x)) = (d/du)(du/dx) d/du(logu) = 1/u du/dx = 12x
2
− 2 ∴d/dx[log(4x
3
− 2x) ]= (12x
2
− 2)/u = (12x
2
− 2)/(4x
3
− 2x)
d/dx [log(4x
3
- 2x) ] ... (1) Let u = 4x
3
3 − 2x)) = (d/du)(du/dx) d/du(logu) = 1/u du/dx = 12x
2
− 2 ∴d/dx[log(4x
3
− 2x) ]= (12x
2
− 2)/u = (12x
2
− 2)/(4x
3
− 2x)
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