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Calculus: Derivatives
17 cards · by HopQuiz · free flashcards with spaced repetition
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Cards in this deck
- d/dx [xⁿ] — n · xⁿ⁻¹
- d/dx [sin x] — cos x
- d/dx [cos x] — −sin x
- d/dx [eˣ] — eˣ
- d/dx [ln x] — 1 / x
- d/dx [c] (constant) — 0
- d/dx [tan x] — sec² x
- Product rule: d/dx[f · g] — f'g + fg'
- Quotient rule: d/dx[f / g] — (f'g − fg') / g²
- Chain rule: d/dx[f(g(x))] — f'(g(x)) · g'(x)
- d/dx [x²] — 2x
- d/dx [√x] — 1 / (2√x)
- d/dx [1 / x] — −1 / x²
- d/dx [aˣ] — aˣ ln a
- A derivative gives the … of a curve — slope of the tangent line
- d/dx [x³] — 3x²
- d/dx [7x] — 7
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