Differentiation Flashcards

(12 cards)

1
Q

a(x^n)

A

na(x^n-1)

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2
Q

sinf(x)

A

f’(x)cosf(x)

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3
Q

cosf(x)

A
  • f’(x)sinf(x)
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4
Q

tanf(x)

A

f’(x)sec²f(x)

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5
Q

cotf(x)

A
  • f’(x)cosec²f(x)
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6
Q

cosecf(x)

A
  • f’(x)cosecf(x)cotf(x)
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7
Q

secf(x)

A

f’(x)secf(x)tanf(x)

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8
Q

e^f(x)

A

f’(x)e^f(x)

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9
Q

lnf(x)

A

f’(x)/f(x)

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10
Q

u/v

A

(v du/dx - u dv/dx) / v²

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11
Q

uv

A

u dv/dx + v du/dx

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12
Q

[f(x)]^n

A

n([f(x)]^n-1)f’(x)

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