Derivative Rules

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Last updated 9:39 PM on 1/17/26
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15 Terms

1
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F(x)= 6

F’(x)= 0

2
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F(x)= x2

F’(x)= 2x

3
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F(x)= ecx

F’(x)= c*ecx

4
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F(x)= ax

F’(x)= axln(a)

5
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F(x)= ln(x)

F’(x)= 1/x

6
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F(x)= logax

F’(x)= 1/(x*ln(a))

7
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F(x)= sin(x)

F’(x)=

8
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F(x)= cos(x)

F’(x)=

9
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F(x)= tan(x)

F’(x)= sec2(x)

10
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F(x)= cot(x)

F’(x)= -csc2(x)

11
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F(x)= sec(x)

F’(x)= sec(x)tan(x)

12
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F(x)= csc(x)

F’(x)= -csc(x)cot(x)

13
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F(x)= sin-1(x)

F’(x)= 1/(√1-x2)

14
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F(x)= cos-1(x)

F’(x)= -1/(√1-x2)

15
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F(x)= tan-1(x)

F’(x)= 1/(1+x2)