Differentiation Flashcards

1
Q

d/dx(C)=

A

0

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2
Q

d/dx(Cf(x))

A

Cf’(x)

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3
Q

d/dx(f(x) +/- g(x))

A

f’(x) +/- g’(x)

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4
Q

d/dx(f(x)g(x))

A

f’(x)g(x) + f(x)g’(x)

“Derivative of the first term times the second, plus the derivative of the second term times the first term”

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5
Q

d/dx (f(x)/g(x))

A

[f’(x)g(x) - f(x)g’(x)]/g(x)^2

“Bottom times the derivative of the top, minus the top times the derivative of the bottom all over the bottom squared”

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6
Q

d/dx(f(g(x)))

A

f’(g(x))g’(x)

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7
Q

d/dx(x^n)

A

nx^(n-1)

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8
Q

d/dx(e^x)

A

e^x

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9
Q

d/dx(lnx)

A

1/x

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10
Q

d/dx(sinx)

A

cosx

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11
Q

d/dx(cosx)

A

-sinx

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12
Q

d/dx(tanx)

A

sec^2(x)

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13
Q

d/dx(secx)

A

secxtanx

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14
Q

d/dx(cscx)

A

-cscxcotx

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15
Q

d/dx(cotx)

A

-csc^2(x)

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