Calc deravitaives

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17 Terms

1
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lim

h→0

f(a+h)-f(a)/h

2
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lim

x→a

f(x)-f(a)/x-a

3
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d/dx sinx

cosx

4
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d/dx cosx

-sinx

5
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d/dx logb(f(x))

1/f(x)ln(b).(f’(x))

6
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d/dx ln(f(x))

f’(x)/f(x)

7
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d/dx ln(x)

1/x

8
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d/dx a^f(x)

a^f(x).ln(a).f’(x)

9
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d/dx e^f(x)

e^f(x).f’(x)

10
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d/dx tanx

sec²x

11
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d/dx cscx

-cscx cotx

12
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d/dx secx

secx tanx

13
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d/dx cotx

-csc²x

14
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d/dx sin⁻¹x

1/ √1-x²

15
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d/dx cos⁻¹x

-1/√1-x²

16
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d/dx tan⁻¹x

1/1+x²

17
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tangent line equation

y-f(x)=f’(x)(x-x)