AP Calc BC derivative rules
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18 Terms
1
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f(x)= #
f’(x)= 0
2
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f(x)= mx+b
f’(x)= m
3
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f(x)= x^n
f’(x)= nx^-1
4
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f(x)= k * g(x)
f’(x)= k * g’(x)
5
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f(x)= g(x) + h(x)
f’(x)= g’(x) + h’(x)
6
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f(x)= g(x) - h(x)
f’(x)= g’(x) - h’(x)
7
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f(x)= sinx
f’(x)= cosx
8
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f(x)= cosx
f’(x)= -sinx
9
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f(x)= tanx
f’(x)= sec²x
10
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f(x)= cscx
f’(x)= -cscx * cotx
11
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f(x)= secx
f’(x)= secx * tanx
12
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f(x)= cotx
f’(x)= -csc²x
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 *lna
15
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f(x) = log base a of x
f’(x)= 1/(x*lna)
16
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f(x)= lnx
f’(x)= 1/x
17
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product rule
1st d2nd + 2nd * d1st
18
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quotient rule
(low * dhigh - high * dlow)/denominator²