Suppose thatflath) -flx) = Cahx?+ Chx t Th3x = Ch ? Sh3+ Th3x -Cah=5h2.2.find fcx)

Name: Suppose thatflath) -flx) = Cahx?+ Chx t Th3x = Ch ? Sh3+ Th3x -Cah=5h
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Description: Suppose thatflath) -flx) = Cahx?+ Chx t Th3x = Ch ? Sh3+ Th3x -Cah=5h2.2.find fcx)

Answered: Suppose that flath) -flx) = Cahx?+ Chx…

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter4: Polynomials

Section4.8: Rate-time-distance Problems

Problem 19P

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Suppose that
flath) -flx) = Cahx?+ Chx t Th3x = Ch ? Sh3
+ Th3x -Cah=5h
2.
2.
find fcx)

Expert Solution

Step 1

$f (x + h) - f (x) = 6 h x^{2} + 6 h x + 7 h^{2} x - 6 h^{2} - 5 h^{3}$

we know that f'(x) is

$f' (x) = l i m_{h - > 0} \frac{f (x + h) - f (x)}{h}$

Step 2

Replace the given f(x+h)-f(x) and find out the limit

$f' (x) = l i m_{h - > 0} \frac{f (x + h) - f (x)}{h} f' (x) = l i m_{h - > 0} \frac{6 h x^{2} + 6 h x + 7 h^{2} x - 6 h^{2} - 5 h^{3}}{h}$

divide each term by h

$f' (x) = l i m_{h - > 0} \frac{6 h x^{2} + 6 h x + 7 h^{2} x - 6 h^{2} - 5 h^{3}}{h} f' (x) = l i m_{h - > 0} (6 x^{2} + 6 x + 7 h x - 6 h - 5 h^{2})$

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