Calc Unit 3

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Last updated 10:56 PM on 9/8/26
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13 Terms

1
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derivative of arcsin

[1 / (√1-x2)] dx

2
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derivative of arccos

[-1 / (√1-x2)] dx

3
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derivative of arctan

[1 / (1+x2)] dx

4
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derivative of arccot

[-1 / (1+x2)] dx

5
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derivative of arcsec

[1 / (|x|√(x2-1) ) ] dx

6
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derivative of arccsc

[-1 / (|x|√(x2-1) ) ] dx

7
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derivative of an inverse (both must be continuous and differentiable)

g’(x) = 1 / [f’g(x)]

8
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derivative of logax

1 / (x*lna)

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derivative of ax

ax * lna

10
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derivative of lnx

1 / x

11
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derivative of ex

ex

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derivative of [f (g(x))]

f’[g(x)] * g’(x)

13
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Newton’s law of estimating roots (aka zeros)

xn+1 = xn - [f(xn) / f’(xn)]