Derivatives Rules Cheat Sheet, Cheat Sheet of Mathematics

Download Derivatives Rules Cheat Sheet and more Cheat Sheet Mathematics in PDF only on Docsity! Name___________ Date____________ Derivative Rules Chet Sheet Rule Function Derivative Example Power Rule 𝑥! 𝑛𝑥!"# 𝑥$ 𝑑 𝑑𝑥 = 4𝑥% Product Rule 𝑓𝑔 𝑓𝑔| + 𝑓|𝑔 𝑥$𝑦' 𝑑 𝑑𝑥 = 5𝑥$𝑦$ + 4𝑥%𝑦' Quotient Rule 𝑓 𝑔 𝑓|𝑔 − 𝑔|𝑓 𝑔( cos(𝑥) 𝑥 𝑑 𝑑𝑥 = 𝑥(− sin(𝑥)) − cos(𝑥) (1) 𝑥( = cos(𝑥) + 𝑥𝑠𝑖𝑛(𝑥) 𝑥( Chain Rule 𝑓(𝑔(𝑥)) 𝑓|(𝑔(𝑥))𝑔|(𝑥) cos(𝑥() 𝑑 𝑑𝑥 = −sin(𝑥() 2𝑥 = −2𝑥𝑠𝑖𝑛(𝑥() Tip! Remember the derivative of trig functions: 𝑑 𝑑𝑥 cos (𝑥) = − sin (𝑥) 𝑑 𝑑𝑥 sin (𝑥) = cos (𝑥) 𝑑 𝑑𝑥 tan (𝑥) = sec ((𝑥)