Chain Rule

THE CHAIN RULE Chapter 3 Section 6

The Purpose of Chain Rule ,[object Object],[object Object]

Chain Rule Contd. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

The Chain Rule & Trig. Functions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Using Inside-Outside Method ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Using Inside-Outside Method contd. ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Chain rule and Radicals Solve for y’ using the Chain rule To SOLVE: = (9x 2 +4) 1/2 “u” = 9x 2 +4 “du” = 18x y = u 1/2 x du y’= 1/2u -1/2 x du [plug in “u” and “du”] y’= 1/2(9x 2 + 4) -1/2 x 18x : multiply 18x by 1/2 to get: 9x (9x 2 + 4) -1/2 =

Chain rule and Radicals Find y’ To solve, you will use the chain rule and inside outside rule. = (tan(3x)) 1/2 u= tan (3x) To find du, use inside outside rule. So, u = tan (3x) Derivative of tan (3x) [outside: sec 2 (3x)] Derivative of (3x) [inside: 3] du = 3 tan(3x) continue on next slide…

Chain rule and Radicals ,[object Object],[object Object],[object Object],[object Object],[object Object]

Chain Rule

Recomendados

Recomendados

Mais conteúdo relacionado

Mais procurados

Mais procurados (20)

Destaque

Destaque (20)

Semelhante a Chain Rule

Semelhante a Chain Rule (20)

Último

Último (20)

Chain Rule