MA 121 Exam 2 Equations

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9 Terms

1
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d/dx [e^x]

e^x

2
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d/dx [ln(x)]

1/x

3
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d/dx [a^x]

a^x(ln(a))

4
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d/dx [log_a(x)]

1/(x(ln(a)))

5
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d/dx [e^g(x))

e^g(x) (g’(x))

6
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d/dx [ln (g(x))]

g’(x)/g(x)

7
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Exponential growth and decay

output= intial(e)^growth/decay(time)

8
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Half life

ln(1/2)/k

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Doubling time

ln(2)/k