Common Derivatives

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Last updated 12:12 AM on 9/20/23
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14 Terms

1
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d/dx(x)

1

2
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d/dx(sinx)

cosx

3
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d/dx(cosx)

-sinx

4
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d/dx(tanx)

sec^2(x)

5
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d/dx(secx)

secxtanx

6
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d/dx(cscx)

-cscxcotx

7
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d/dx(cotx)

-csc^2(x)

8
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d/dx(a^x)

a^x(lna)

9
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d/dx(e^x)

e^x

10
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d/dx(lnx)

1/x

11
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d/dx (log_a(x))

1/(xlna)

12
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quotient rule

d/dx f(x)g(x)= (g(x)f'(x)-f(x)g'(x))/g(x)^2

13
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product rule

d/dx f(x)g(x)=f(x)g'(x)+f'(x)g(x)

14
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d/dx √x

(1/2)x^-(1/2)