Common Derivatives

Vocabulary flashcards covering the common derivatives of basic functions.

d/dx (x)

1

d/dx (sin x)

cos x

d/dx (cos x)

-sin x

d/dx (tan x)

sec^2 x

d/dx (cot x)

-csc^2 x

d/dx (sec x)

sec x tan x

d/dx (csc x)

-csc x cot x

d/dx (e^x)

e^x

d/dx (a^x)

a^x ln a

d/dx (ln x)

1/x

d/dx (log_a x)

1 / (x ln a)

d/dx (arcsin x)

1 / sqrt(1 - x^2)

d/dx (arccos x)

-1 / sqrt(1 - x^2)

d/dx (arctan x)

1 / (1 + x^2)

d/dx (1/x)

-1/x^2