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Consider the following. f ( x ) = 4 x 2 + 5 x 14 (a) Find the derivative, by using the definition. f '

Consider the following.

f(x) =4x2+5x14

(a) Find the derivative, by using the definition.

f'(x) =

(b) Find the instantaneous rate of change of the function at any value.

f'(x) =

Find the instantaneous rate of change of the function at the valuex=3.

f'(3) =

(c) Find the slope of the tangent at the valuex=3.

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