Second Derivative (Grade 12 NSC Matric Mathematics): Flashcards

Derivative of the first derivative

Rate of change of the gradient

$f''(x)$

$\frac{d^2y}{dx^2}$

Twice

$\frac{d}{dx}[f'(x)]$

$[f'(x)]^2$ (second deriv. is NOT squaring first deriv.)

$k''(x) = 12x - 8$

$\frac{d^2y}{dx^2} = \frac{6}{x^3}$

$3x^{-1}$