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26 Cards in this Set

  • Front
  • Back

(sin(x))'

cos(x)

(cos(x))'

-sin(x)

(tan(x))'

sec^2(x)

(cot(x))'

-csc^2(x)

(sec(x))'

sec(x)*tan(x)

(csc(x))'

-csc(x)*cot(x)

(e^x)'

e^x

(ln(x))'

1/x

(e^u(x))

e^u(x) * u'(x)

(a^x)'

ln(a) * a^x

(a^u(x))'

ln(a) * a^u(x) * u'(x)

(arcsin(u(x)))'

[1 / sqrt(1 - (u(x))^2)] * u'(x)

(arccos(u(x)))'

- [1 / sqrt(1 - (u(x))^2)] * u'(x)

ln(A*B)

lnA + lnB

ln(A/B)

lnA-lnB

lnA^B

B lnA

definition of derivative

[ f(x+h) - f (x) ] / h

(A*B)'

A' * B + B' * A

(A/B)'

(A' * B - B' * A) / B^2

(f(g(x)))'

(f'(g(x))) * g'(x)

(f(g(h(x))))'

f'(g(h(x))) * g'(h(x)) * h'(x)

L(x) or LLA

f(a) + f'(a) (x-a)

ln 1

0

e^0

1

ln(u(x))

u'(x)/u(x)

(sqrt(u(x)))'

1/2sqrt(u(x)) * u'(x)