Given $\mathrm{f}(x)=2x^3-3x^2+5x-7,$ find: $\mathrm{f'}(x)$; $\mathrm{f''}(x)$; the grad

Question

Given $\mathrm{f}(x)=2x^3-3x^2+5x-7,$ find: $\mathrm{f'}(x)$; $\mathrm{f''}(x)$; the gradient of the curve at $x=1$.

Accepted Answer

$\mathrm{f'}=6x^2-6x+5$; $\mathrm{f''}=12x-6$; gradient $5$.

Differentiation