b) use the defintion of the derivative to evaluate f(X)=X2 V DrawHighlightErasex-2f(x)= ax-bx+3 if 2

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Description: b) use the defintion of the derivative to evaluate f(X)=X2 V DrawHighlightErasex-2f(x)= ax-bx+3 if 2

b) Given function is f(x)=xn We have to find the derivative of f(x)=xn by using the definition of…

Answered: (b). Use the definition of the…

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(b). Use the definition of the derivative to evaluate f(x)=x". Hint: Use the Binomial Theorem: n(n-1)-26. +...+ nab"+ b" .] (a+b)" =a" +na""b a" 2! %3D

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.CT: Chapter Test

Problem 9CT

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Topic Video

Question

b) use the defintion of the derivative to evaluate f(X)=X²

V Draw
Highlight
Erase
x-2
f(x)= ax-bx+3 if 2<x<3.
2x-a+b
if x23
Page | 1
(b). Use the definition of the derivative to evaluate f(x)=x".
[Hint: Use the Binomial Theorem:
n(n-1)-2,2 +..+ nab" +b"
(a+b)"=Da" +na" 'b+
2!
(c). The amount of photosynthesis that takes place in a certain plant depends on the intensity of light x
according to the equation
S(x)%3D145X-30x'.
(i). Find the rate of change of photosynthesis with respect to the intensity.
(11). What is the rate of change when x=1? when x=3?
(111).How fast is the rate found in part (a) changing when x= 1? when x= 3?
(d). A mathematical biologist is created a model to administer medicine reaction (measured in change of blood
or temperature) with the model given by

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