Question: EXAMPLE 4 Find the derivative of the function f ( x ) = x 2 5 x + 4 at the number a . SOLUTION

EXAMPLE 4 Find the derivative of the function
f(x)= x25x +4
at the number a.
SOLUTION From the definition we have
f'(a)=limh 0
f(a + h) f(a)h
=limh 0
5(a + h)+4
[a25a +4]h
=limh 0
a2+
5a 5h +4 a2+5a 4h
=limh 0
h
=limh 0
=
.

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