Answer (Detailed Solution Below)

Option 2 : 12/x
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DSSSB TGT Social Science Full Test 1
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200 Questions 200 Marks 120 Mins

Detailed Solution

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Concept:

\(\rm \frac{\mathrm{d} (logx)}{\mathrm{d} x} = \frac{1}{x}\)

log xa = a log x  

Calculation:

Given: f(x) = 4log x3 = 12log x

Now, f'(x) = \(\rm \frac{\mathrm{d} (12\log x)}{\mathrm{d} x}\)

\(12\frac{\mathrm{d} (\log x)}{\mathrm{d} x}\)

= 12/x

∴ The required value is 12/x.

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