Flashcards
Sem título
Flashcards do conjunto (10)
- 1What is the chain rule?dy/dx = dy/du x du/dx
- 2What is the product rule?If y = uv then y' = u'v + uv'
- 3What is the quotient rule?If y = u/v then y' = (u'v - uv')/v^2
- 4What is the Maclaurin series?f(x) = f(0) + f'(0)x + (f''(0)/2!)x^2 + (f'''(0)/3!)x^3...
- 5What are the small angle approximations?sinx is approx equal to x
cosx is approx equal to 1 - x^2 /2 - 6What is the Taylor series?f(x) = f(a) + f'(a)(x-a) + (f''(a)/2!)(x-a)^2 + (f'''(a)/3!)(x-a)^3...
- 7What is the liner approximation when x is approx equal to a?f(x) is approx equal to
f(a) + f'(a)(x-a) - 8What is the relationship between errors when x is approx equal to a?Δf ≈ f'(a)Δx
in words:
change in f ≈ f'(a) times change in x - 9What is the second derivative test for local maxima and minima?if f'(c) = 0 and f''(c) < 0, x = c is local maximum
if f'(c) = 0 and f''(c) > 0, x = c is local minimum
if f'(c) = 0 and f''(c) = 0 then use other method - 10What is the difference between local and global extrema?Local extrema apply only when x is near c, global extrema apply for all allowable values of x.
Informações
- Descrição
- Undergraduate BSc Maths FlashCards sobre Sem título, criado por tilly.m94 em 13-04-2014.
- Criado por
- tilly.m94 · abr 2014
- Atualizado
- 19 fev 2016
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