What is the second derivative of f(x)=4x^3-3x^2+9x-1 ?

Mar 7, 2016

24x - 6

Explanation:

differentiate using the$\textcolor{b l u e}{\text{ power rule }}$

$\frac{d}{\mathrm{dx}} \left(a {x}^{n}\right) = n a {x}^{n - 1}$

Apply this rule 'term by term "

hence f'(x) $= 12 {x}^{2} - 6 x + 9$

and $f ' ' \left(x\right) = 24 x - 6$