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Calculus9 cards

Derivative Rules flashcards

Every basic differentiation rule on one deck.

Keyboard: Space flips the card; 1 to 4 grade it (Again, Hard, Good, Easy).

All cards in this deck

Power rule: $\frac{d}{dx}x^n = nx^{n-1}$
Product rule: $(fg)' = f'g + fg'$
Quotient rule: $\left(\frac{f}{g}\right)' = \frac{f'g - fg'}{g^2}$
Chain rule: $\frac{d}{dx}f(g(x)) = f'(g(x))\,g'(x)$
$\frac{d}{dx}\sin x$: $\cos x$
$\frac{d}{dx}\cos x$: $-\sin x$
$\frac{d}{dx}e^x$: $e^x$
$\frac{d}{dx}\ln x$: $\frac{1}{x}$ for $x > 0$
$\frac{d}{dx}\tan x$: $\sec^2 x$

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