AP Calc BC derivative rules

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18 Terms

1

f(x)= #

f’(x)= 0

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2

f(x)= mx+b

f’(x)= m

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3

f(x)= x^n

f’(x)= nx^-1

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4

f(x)= k * g(x)

f’(x)= k * g’(x)

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5

f(x)= g(x) + h(x)

f’(x)= g’(x) + h’(x)

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6

f(x)= g(x) - h(x)

f’(x)= g’(x) - h’(x)

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7

f(x)= sinx

f’(x)= cosx

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8

f(x)= cosx

f’(x)= -sinx

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9

f(x)= tanx

f’(x)= sec²x

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10

f(x)= cscx

f’(x)= -cscx * cotx

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11

f(x)= secx

f’(x)= secx * tanx

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12

f(x)= cotx

f’(x)= -csc²x

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13

f(x)= e^x

f’(x)= e^x

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14

f(x)= a^x

f’(x)= a^x *lna

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15

f(x) = log base a of x

f’(x)= 1/(x*lna)

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16

f(x)= lnx

f’(x)= 1/x

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17

product rule

1st d2nd + 2nd * d1st

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18

quotient rule

(low * dhigh - high * dlow)/denominator²

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