Differentiating Powers of x (Edexcel A-Level Mathematics): Flashcards

$nx^{n-1}$

$x^{\frac{1}{2}}$

$x^{\frac{1}{3}}$

No, convert to negative powers first

$x^{-1}$

$2x + 3$

$-x^{-2}$

Derivative $f'(a)$ evaluated at that point

The derivative $f'(x)$ or $\frac{dy}{dx}$

$x^{-\frac{1}{2}}$