EXERCISES $3\mathrm{.}2$ The Derivative as a Function

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Let

$f(x)=3x^3+8x+3$

Use the limit definition of the derivative to calculate the derivative of $f$ :

$f^{\text{'}}(x)=$

$$

Use the same formula from above to calculate the derivative of this new function $($i$.$e$.$ the second derivative of $f)$:

$f^{\text{'}\text{'}}(x)=$

$$