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Find second derivative of function f(x) = 4x-6

1. 172x-8
2. -168x-8
3. 168x-8
4. -24x-7

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Correct Answer - Option 3 : 168x-8


\(\rm \frac{\mathrm{d} (x^n)}{\mathrm{d} x} = nx^{n - 1}\)


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.

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