The university doctor asked me to solve the question indicated by the arrow in the picture without the solution method mentioned in the picture. MATHEMATICS 2/ [First Stage / Dep. Of Environmental Sciences /Lecturer : Ala'a H. Khaleel] [Lec2]EXAMPLE 13Choosing Which Rule to UseRather than using the Quotient Rule to find the derivative of(xy =1)(x² – 2x)expand the numerator and divide by x*:(x -y =– 1)(x² – 2x)x³ – 3x2 + 2r= r-3x-2 + 2x-3.Then use the Sum and Power Rules:-x-2 - 3(-2)x3 + 2(-3)xdx1610

It is given that, y=(x-1)(x2-2x)x4 Without using the given solution method, we can do this…

EXAMPLE 13 Choosing Which Rule to Use Rather than using the Quotient Rule to find the derivative of (x – 1)(x² – 2x) expand the numerator and divide by x*: (x – 1)(x² – 2x) x³ – 3x² + 2x –x– 3x-2 + 2x. %3D y = Then use the Sum and Power Rules: dy -x-2 - 3(-2)x-3 + 2(-3)x¬ dx 6.

EXAMPLE 13 Choosing Which Rule to Use Rather than using the Quotient Rule to find the derivative of (x – 1)(x² – 2x) expand the numerator and divide by x*: (x – 1)(x² – 2x) x³ – 3x² + 2x –x– 3x-2 + 2x. %3D y = Then use the Sum and Power Rules: dy -x-2 - 3(-2)x-3 + 2(-3)x¬ dx 6.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.3: The Natural Exponential Function

Problem 4E

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Question

The university doctor asked me to solve the question indicated by the arrow in the picture without the solution method mentioned in the picture.

MATHEMATICS 2/ [First Stage / Dep. Of Environmental Sciences /
Lecturer : Ala'a H. Khaleel] [Lec2]
EXAMPLE 13
Choosing Which Rule to Use
Rather than using the Quotient Rule to find the derivative of
(x
y =
1)(x² – 2x)
expand the numerator and divide by x*:
(x -
y =
– 1)(x² – 2x)
x³ – 3x2 + 2r
= r-
3x-2 + 2x-3.
Then use the Sum and Power Rules:
-x-2 - 3(-2)x3 + 2(-3)x
dx
1
6
10

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