Do Homework CLAUDIA GONZALEZ Internet Explorer provided by TOSHIBA IP https mewo

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Do Homework CLAUDIA GONZALEZ Internet Explorer provided by TOSHIBA IP https mework.aspx? homeworkl &questionld-1;&flushed; 8&centerwin; yes 384661741&q; Mac2311 Fall 2016 Homework: Sections 3.1, 3.2 Score: 0 of 1 pt 8 of 16 (7 complete 3.2.1 Using the definition, calculate the derivative of the function. Then find the values of the derivative as specified. f (x) f(x)- 8- x2, f (-7), f (o), f (9) Enter your answer in the answer box and then click Check Answer 3 parts remaining Clear All 3- T CLAUDIA GONZALEZ & 9/24/16 9:48 PM Save HW Score: 40.63%, 6.5 of 16 pts Question Help Check Answer 21:48 9/24/2016

Explanation / Answer

given f(x)=8-x2

f(x+h)=8-(x+h)2

f(x+h)=8-x2-h2-2xh

f(x+h)-f(x)=8-x2-h2-2xh -8+x2

f(x+h)-f(x)=-h2-2xh

[f(x+h)-f(x)]/h =[-h2-2xh]/h

[f(x+h)-f(x)]/h =-h-2x

f '(x)=limh->0[f(x+h)-f(x)]/h

f '(x)=limh->0-h-2x

f '(x)=-0-2x

f '(x)=-2x

f '(-7)=-2(-7) =14

f '(0)=-2*0 =0

f '(9)=-2(9) =-18

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