# diffform

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```					                                            Basic Differentiation Formulas
In the table below, ? œ 0 ÐBÑ and @ œ 1ÐBÑ represent differentiable functions of B
.-
Derivative of a constant                   .B    œ !
.                   .?
Derivative of constant                     .B   (-?) œ -        .B                 ÐWe could also write Ð-0 Ñ w œ -0 w , and could use
multiple                                                                       the “prime notion” in the other formulas as well)
.                     .?        .@
Derivative of sum or                       .B   (? „ @) œ         .B   „    .B
difference
.            .@                 .?
Product Rule                               .B   (?@Ñ œ ? .B  @             .B

.
.@
@ .? ? .B
Quotient Rule                              .B   (?) œ
@
.B
@ #

.C         .C .?
Chain Rule                                 .B   œ     .? .B

.                                                       .                   .?
.B   B8 œ 8B8"                                         .B   ?8 œ 8?8"      .B

.                                                       .                        .?
.B   +B œ (ln +) +B                                     .B   +? œ (ln +) +?       .B

.                                                       .              .?
(If + = / )          .B   /B œ /B                                            .B   /? œ /?    .B

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

.              1                                        .             1 .?
(If + œ / )          .B    ln B œ    B                                       .B   ln ? œ    ? .B

.                                                       .                        .?
.B    sin B œ cos B                                     .B   sin ? œ cos ?        .B

.                                                       .                              .?
.B    cos B œ  sin B                                   .B   cos ? œ  sin ?            .B

.                                                       .                         .?
.B    tan B œ sec# B                                    .B   tan ? œ sec# ?        .B

.                                                       .                               .?
.B    cot B œ  csc# B                                  .B   cot ? œ  csc# ?            .B

.                                                       .                                   .?
.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

È"B#                                                   È"?#
.                      1                                .                      1            .?
.B   arcsin B œ                                         .B   arcsin ? œ                      .B

.                                                       .
.B    tan" B œ                                         .B   tan" ? œ

.                      1                              .                 1   .?
.B   arctan B =        "B#                           .B   arctan ? =   "?# .B

```
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