Question: EXAMPLE 4 Find the derivative of the function f ( x ) = x 2 8 x +7 at the number a . SOLUTIONFromthe definitionwe

EXAMPLE 4Find the derivative of the function

f(x) =x28x+7

at the numbera. SOLUTIONFromthe definitionwe have

f'(a) =

limh0

f(a+h)f(a)
h
=

limh0

8(a+h) +7

[a28a+7]

h
=

limh0

a2+

8a8h+7a2+8a7

h
=

limh0

h
=

limh0
=

.

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