Derivatives

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17 Terms

1
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f(x) = sin(x)
f'(x) = cos(x)
2
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f(x) = cos(x)
f'(x) = -sin(x)
3
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f(x) = tan(x)
f'(x) = sec^2(x)
4
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f(x) = cot(x)
f'(x) = -csc^2(x)
5
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f(x) = sec(x)
f'(x) = sec(x)tan(x)
6
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f(x) = csc(x)
f'(x) = -csc(x)cot(x)
7
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f(x) = sin^-1(x) or arcsin(x)
f'(x) = 1/sqrt(1-x^2)
8
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f(x) = cos^(-1)x or arccos(x)
f'(x) = -1/sqrt(1-x^2)
9
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f(x) = tan^(-1)x or arctan(x)
f'(x) = 1/(1+x²)
10
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f(x) = cot^(-1)x or arccot(x)
f'(x) = -1/(1+x²)
11
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f(x) = sec^(-1)x or arcsec(x)
f'(x) = 1/ |x| * sqrt(x^2-1)
12
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f(x) = csc^(-1)x or arccsc(x)
f'(x) = -1/ |x| * sqrt(x^2-1)
13
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f(x) = e^x
f'(x) = e^x
14
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f(x) = a^x
f'(x) = a^x ln(x)
15
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f(x) = ln(x)
f'(x) = 1/x
16
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f(x) = logₙx
f'(x) = 1/x ln(n)
17
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f(x) = sqrt(x)

f’(x) = 1/ (2 * sqrt(x))