Differentiation formulae PDF

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Summary

Cheatsheet with most of the formulae required for Calculus 1 class. Specifically focussed on differentiation. It contains all the formulae required....

Description

Basic Differentiation Formulas In the table below, ? œ 0 ÐBÑ and @ œ 1ÐBÑ represent differentiable functions of B Derivative of a constant Derivative of constant multiple Derivative of sum or difference

..B . .B

œ ! (-?) œ -

. .B

(? „ @ ) œ

Product Rule

. .B ( ?@Ñ

Quotient Rule

. .B

Chain Rule

.C .B

(If + = / )

(If + œ / )

.? .B

Ð We could also write Ð-0 Ñ w œ -0 w , and could use the “prime notion” in the other formulas as well) „

.@ .B

.? œ ? .@ .B  @ .B

( ?@ ) œ

œ

.? .B

.@ @ .? ? .B .B @#

.C .? .? .B

. .B

B8 œ 8B 8"

. .B

? 8 œ 8? 8"

. .B

+ B œ (ln +) + B

. .B

+ ? œ (ln +) + ?

. .B

/Bœ /B

. .B

/?œ /?

. .B

log + B œ

. .B

log + ? œ

. .B

ln B œ

. .B

ln ? œ

1 (ln +) B

1 B

.? .B

.? .B

.? .B .? 1 (ln +) ? .B

1 .? ? .B

. .B

sin B œ cos B

. .B

sin ? œ cos ?

. .B

cos B œ  sin B

. .B

cos ? œ  sin ?

. .B

tan B œ sec# B

. .B

tan ? œ sec# ?

. .B

cot B œ  csc# B

. .B

cot ? œ  csc# ?

. .B

sec B œ sec B tan B

. .B

.? sec ? œ sec ? tan ? .B

. .B

csc B œ  csc B cot B

. .B

.? csc ? œ  csc ? cot ? .B

. .B

sin" B œ

. .B

sin" ? œ

. .B

arcsin B œ

. .B

arcsin ? œ

. .B

tan" B œ

. .B

tan" ? œ

. .B

1 È"B#

arctan B =

1 "B #

. .B

.? .B .? .B

.? .B

1 È"?#

arctan ? =

.? .B

.? .B

.? 1 "? # .B...