Question

Consider the following. f(x) = 4x2 + 8x − 18 (a) Find the derivative, by using...

Consider the following.

f(x) = 4x2 + 8x − 18

(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 value

x = −3.


f '(−3) =



(c) Find the slope of the tangent at the value

x = −3.

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