Grings - Regra da Cadeia - Parte 2 - ( aula 15 )

Derivative by the Chain Rule. In this lesson: 3 solved exercises Subscribe to my CHANNEL to receive FREE lessons SITE: http://www.omatematico.com/ Lessons on DVD: http://www.lojaomatematico.com.br/ STUDYING has never been so easy! CONTENT: EXERCISE 1: Calculate the derivative of the function f(x) = sen (x^5) (where: ^ is read as raised to the power of ) In this question we have a derivative of a composite function where the chain rule will be used in time (1:30) Applying the chain rule: y = sen (u) --- y´= cos (u) . u’ at time (2:11) EXERCISE 2: Derive the function using the chain rule f(x) = sen^5(x) (where: ^ is read as the power of ) at time (4:15) Applying the rule: y = u^p --- y' = p.u ^p-1.u’ (where: ^ is read as the power of ) at time (4:45) EXERCISE 3: Derive the function h(x) = sen^5(2x² - 1) (where: ^ is read as the power of ) Note: In this question the chain rule will be used twice at time (6:36) PLAYLIST with 5 video lessons about the network rule:http://bit.ly/1k1MKJU