Trig Derivatives + Inverse Trig Derivatives + Derivative Facts

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16 NEED TO KNOW DERIVATIVE FACTS --> Each flashcard is the trig function and it's derivative

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16 Terms

1
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y= sinx

y’= cosx

2
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y= cosx

y’= -sinx

3
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y= tanx

y’= sec²x

4
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y= cotx

y’= -csc²x

5
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y= secx

y’= secxtanx

6
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y= cscx

y’= -cscxcotx

7
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y = sin^-1 (x)

y’= 1/ √1-x²

8
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y = cos^-1 (x)

y’ = - 1/√1-x²

9
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y = tan^-1 (x)

y’ = 1/ 1+ x²

10
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y = cot^-1 (x)

y’ = - 1/1+x²

11
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y = sec^-1 (x)

y’ = 1 / |x| √x² - 1

12
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y = csc^-1 (x)

y’ = -1 / |x| √x² - 1

13
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y = ln(x)

y’ = 1/x

14
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y= a^x

y’= a^x ⋅ ln(a)

15
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y= loga (x)

y’= 1/ (x ⋅ ln(a))

16
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y = e^x

y’ = e^x