Calc03_6 - 3.6 The Chain Rule sin x 2 + 1 49 x2 +1 sin (x +...

Info iconThis preview shows pages 1–8. Sign up to view the full content.

View Full Document Right Arrow Icon
3.6 The Chain Rule
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
sin x 2 + 1 sin 49 x 2 + 1 49 x 2 + 1 7 x 2 + 7 sin x 2 + 1 ( 29
Background image of page 2
g f x ( 29 ÷ g h f x ( 29 ÷ ÷ ÷ h g f x ( 29 ÷ ÷ ÷ ÷ ÷ f h h x ( 29 ÷ ÷ ÷ ÷ f g h x ( 29 ÷ ÷ ÷ ÷
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
( 29 2 3 Find f (t) if f(t) = 3x - 7x ¢
Background image of page 4
( 29 ( 29 ( 29 2 3 3 3 6 4 2 5 3 Find f (t) if f(t) = 3x - 7x f (t) = 3x - 7x 3x - 7x = 9x - 42x + 49x f (t) = 54 x - 168 x + 98 x ¢ ¢
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
We now have a pretty good list of “shortcuts” to find derivatives of simple functions. Of course, many of the functions that we will encounter are not so simple. What is needed is a way to combine derivative rules to evaluate more complicated functions.
Background image of page 6
Consider a simple composite function: 6 10 y x = - ( 29 2 3 5 y x = - If 3 5 u x = - then 2 y u = 6 10 y x = - 2 y u = 3 5 u x = - 6 dy dx = 2 dy du = 3 du dx = dy dy du dx du dx = × 6 2 3 = ×
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 8
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 27

Calc03_6 - 3.6 The Chain Rule sin x 2 + 1 49 x2 +1 sin (x +...

This preview shows document pages 1 - 8. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online