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13 Cards in this Set
- Front
- Back
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Liner approximation formula:
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hf'(x) + f(x) = f(x+h)
(change in y) + (old y value) = (new y value) |
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Linear approximation - Percentage change in y:
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[ 100h x f'(x) ] / f(x)
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h is...
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what you have to add/subtract from the value you know!!
e.g. 100 -> 101, h = 1 |
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Differentiation exponentials: e^kx becomes...
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ke^kx
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Integrating exponentials: e^kx becomes...
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(1/k)e^kx + c
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Differentiating logs: ln( f(x) ) becomes...
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f'(x) / f(x)
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Differentiating trig: sin(kx) becomes...
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kcos(kx)
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Differentiating trig: cos(kx) becomes...
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-ksin(kx)
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Differentiating trig: tan(kx) becomes...
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ksec^2(kx)
(sec = 1/cos) |
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Integrating trig: sin(kx + a) becomes...
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-(1/k)cos(kx + a) + c
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Integrating trig: cos(kx + a) becomes...
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(1/k)sin(kx + a) + c
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Integration: 1/(ax+b) becomes...
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(1/a)ln(ax+b) + c
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Integration: (ax + b)^n becomes...
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[1/a(n + 1)] x (ax + b)^(n+1) + c
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