Calculus Derivatives

C

0
Kx

K
xⁿ

nx^(n-1)
e^x

e^x
a^x

a^xln(a)
ln(x)

1 / x
log_ax

(1 / x) * (1 / ln[a])
sin x

cos x
cos x

-sin x
tan x

sec²x
sec x

(sec x)(tan x)
cot x

-csc²x
csc x

(-csc x)(cot x)
sin^-1x

1 / (sqrt[1-x²])
cos^-1x

-1 / (sqrt[1-x²])
tan^-1x

1 / (x²+1)
sec^-1x

1 / (|x| * sqrt[x²-1])
cot^-1x

-1 / (x²+1)
csc^-1x

-1 / (|x| * sqrt[x²-1])
cf(x)

c * f '(x)
f(x) + g(x)

f '(x) + g '(x)
Product Rule -

f(x)g(x)

f '(x)g(x) + f(x)g '(x)
Quotient Rule -

f(x) / g(x)

[f '(x)g(x) - f(x)g '(x)] / [g(x)]²
Chain Rule -

f(g(x))

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

Author

Anonymous

ID

74759

Card Set

Calculus Derivatives

Description

Calculus Derivatives

Updated

2011-03-23T17:41:07Z

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