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(x – 1)(x² – 2x)y =expand the numerator and divide by x*:– 1)(x² – 2x)x³ – 3x? + 2x= x(x -y =3x-2 + 2x3.Then use the Sum and Power Rules:The universitydoctor asked meto solve thedy-x-2 - 3(-2)x-3 + 2(-3)xdxquestion indicatedby the arrow in thepicture withoutthe method of1x3トす。solutionmentioned in theimage and wantedto solve thethat the finalquestion in thetraditional way, product of the newthe numerator andsolution isdenominatormethod, meaningthat he wanted toidentical to thesolve the questionin more steps thanthe method inoutputsurrounding thecircuit As thewhich the questionwas solved in theimage, providedpicture

Given: y=x-1x2-2xx4 ……1 Derivative of above equation using sum and power rules is:…

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 – 1)(x² – 2x) y = - expand the numerator and divide by x*: (x – 1)(x² – 2x) x³ – 3x² + 2x - 3x-2 + 2x-3. y = Then use the Sum and Power Rules: The university doctor asked me dy -x2 - 3(-2)x-3 + 2(-3)x¬ to solve the dx question indicated by the arrow in the picture without the method of solution 1 6 mentioned in the image and wanted to solve the that the final question in the traditional way, product of the new the numerator and denominator solution is method, meaning that he wanted to solve the question in more steps than the method in identical to the output surrounding the circuit As the which the question was solved in the image, provided 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 – 1)(x² – 2x) y = - expand the numerator and divide by x*: (x – 1)(x² – 2x) x³ – 3x² + 2x - 3x-2 + 2x-3. y = Then use the Sum and Power Rules: The university doctor asked me dy -x2 - 3(-2)x-3 + 2(-3)x¬ to solve the dx question indicated by the arrow in the picture without the method of solution 1 6 mentioned in the image and wanted to solve the that the final question in the traditional way, product of the new the numerator and denominator solution is method, meaning that he wanted to solve the question in more steps than the method in identical to the output surrounding the circuit As the which the question was solved in the image, provided picture

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter5: A Survey Of Other Common Functions

Section5.4: Combining And Decomposing Functions

Problem 14E: Decay of Litter Litter such as leaves falls to the forest floor, where the action of insects and...

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