Download presentation

Presentation is loading. Please wait.

Published byJerome Crammer Modified over 2 years ago

1
**U2 L8 Chain and Quotient Rule CHAIN & QUOTIENT RULE**

UNIT 2 LESSON 8 CHAIN & QUOTIENT RULE

2
**U2 L8 Chain and Quotient Rule**

Chain Rule and Quotient Rule Example 1 Find the derivative of π= π+ππ π π π π βπ π dy = (2x2 β 1)2 [4(1 + 3x)3(3)] β (1 + 3x)4[2(2x2 β 1)(4x)] dx [(2x2 β 1)2]2 dy = (2x2 β 1)2 [12(1 + 3x)3] β (1 + 3x)4[8x(2x2 β 1)] dx (2x2 β 1)4

3
**U2 L8 Chain and Quotient Rule**

Factor out common factors , (2x2 β 1), and (1 + 3x)3 dy = (2x2 β 1)2 [12(1 + 3x)3] β (1 + 3x)4[8x(2x2 β 1)] dx (2x2 β 1)4 dy = 4 (2x2 β 1) (1 + 3x)3[3(2x2 β 1) β 2x(1 + 3x)] dx (2x2 β 1)4 dy = 4 (2x2 β 1) (1 + 3x)3[6x2 β 3 β 2x β 6x2] dx (2x2 β 1)4 dy = 4 (2x2 β 1) (1 + 3x)3(β 3 β 2x) dx (2x2 β 1)4 dy = 4 (1 + 3x)3(β 3 β 2x) dx (2x2 β 1)3

4
**U2 L8 Chain and Quotient Rule**

Find the equation of the tangent line at x = 0. π= π+ππ π π π π βπ π = π+π(π) π π (π) π βπ π =π Equation of tangent line 1 = 12(0) + b dy = 4 (1 + 3x)3(β 3 β 2x) dx (2x2 β 1)3 b = 1 dy = 4 (1 + 3(0))3(β 3 β 2(0)) dx (2(0)2 β 1)3 y = 12x + 1 Slope = dy = 4(1 )3(β 3) = 12 dx ( β 1)3

5
**U2 L8 Chain and Quotient Rule**

Chain Rule and the Quotient Rule Example 2 U2 L8 Chain and Quotient Rule π π = ππ+π π π π = ππ+π π π π Rewrite π β² π₯ = times the parentheses to β1 times the derivative of what's in the parentheses (quotient rule will be needed) π β² π = π π ππ+π π β π π π π β(ππ+π)(π) π π π β² π = π π ππ+π π β π π ππβππβπ π π π β² π = π π π ππ+π π π βπ π π π β² π = βπ π π π π ππ+π

Similar presentations

OK

3.1 Definition of the Derivative & Graphing the Derivative

3.1 Definition of the Derivative & Graphing the Derivative

© 2017 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on nitrogen cycle and nitrogen fixation lightning Ppt on isobars and isotopes of uranium Download ppt on surface area and volume for class 9th Ppt on business plan in india Ppt on non renewable sources of energy Ppt on area of triangle in coordinate geometry Ppt on science and technology in india Ppt on neural networks Ppt on column chromatography set Ppt on amending the constitution