Question

Find the differentiation of f(x) = 4log x³

1. 4/x³
2. 12/x
3. e^x
4. 4log x

Answer 1

Correct Answer - Option 2 : 12/x

Concept:

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

log x^a = 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.