Flashcards
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Cards in this deck (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.
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- Undergraduate BSc Maths Flashcards on Untitled, created by tilly.m94 on 13/04/2014.
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- tilly.m94 · Apr 2014
- Updated
- Feb 19, 2016
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