Correct Answer - Option 3 : 168x
-8
Concept:
\(\rm \frac{\mathrm{d} (x^n)}{\mathrm{d} x} = nx^{n - 1}\)
Calculation:
Given function f(x) = 4x-6
Now; f'(x) = \(\rm \frac{\mathrm{d} (4x^{-6})}{\mathrm{d} x}\)
= 4 × (-6)x(-6 - 1)
f'(x)= -24x-7
Again; differentiation with respect to x
f"(x) = -24 × (-7)x(-7 - 1)
= 168x-8
∴ The required value is 168x-8.