Question
Compute the derivative of the given function in two different ways.
x³ + 8x?
h(x) =
бх?
g f' – f • g'
g2
a) Use the Quotient Rule,
(Fill in each blank, then simplify.)
%3D
h'(x) = |(
)-(
)
%3D
b) Use algebra first to simplify h, then differentiate without the Quotient Rule.
h'(x) =
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Transcribed Image Text

Compute the derivative of the given function in two different ways. x³ + 8x? h(x) = бх? g f' – f • g' g2 a) Use the Quotient Rule, (Fill in each blank, then simplify.) %3D h'(x) = |( )-( ) %3D b) Use algebra first to simplify h, then differentiate without the Quotient Rule. h'(x) =