2019
Mathematics
67ca00ce0c643c71d77dee1f
d/dx [log(4x3 - 2x) ] is equal to
A.
(12x−2)/4x2
B.
(43x2−2x)/7x
C.
(4x2−2)/7x+6
D.
(12x2−2)/4x3−2x
Correct Answer: (12x2−2)/4x3−2x
Explanation
d/dx [log(4x3 - 2x) ] ... (1) Let u = 4x33 − 2x)) = (d/du)(du/dx) d/du(logu) = 1/u du/dx = 12x2 − 2 ∴d/dx[log(4x3 − 2x) ]= (12x2 − 2)/u = (12x2 − 2)/(4x3 − 2x)
d/dx [log(4x3 - 2x) ] ... (1) Let u = 4x33 − 2x)) = (d/du)(du/dx) d/du(logu) = 1/u du/dx = 12x2 − 2 ∴d/dx[log(4x3 − 2x) ]= (12x2 − 2)/u = (12x2 − 2)/(4x3 − 2x)THIS WEEK's
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