I hate the limit definition of derivative. I wish there were a shorter way. {{CMD_7}} I think I might have found a pattern for taking derivatives. {{CMD_8}} Really? I love patterns! {{CMD_9}} I know! Check this out, I've made a chart { {{CMD_10}} {{MATH_11}} } So maybe if we have a function {{MATH_12}} {{CMD_13}} Hmmm does it work with square roots? {{CMD_14}} Oh that's right, a square root is a power, just write {{MATH_15}} So a square root is of the form {{MATH_16}}. {{CMD_17}} Let's check it. If {{MATH_18}}, {{ENV_19}} {{CMD_20}} Holy Cat Fur! It works! In this case {{MATH_21}}. {{CMD_22}} I wonder if it {{CMD_23}}always{{CMD_24}} works? If so I want to know {{CMD_25}}why{{CMD_26}} it works! I wonder what other patterns we can find? {{CMD_27}}