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Problem 31

$\begin{array}{l}{\text { Finding an Equation of a Tangent Line In }} \\ {\text { Exercises } 29-36 \text { , (a) find an equation of the tangent }} \\ {\text { line to the graph of } f \text { at the given point, (b) use }} \\ {\text { a graphing utility to graph the function and its }} \\ {\text {tangent line at the point, and (c) use the tangent }} \\ {\text { feature of a graphing utility to confirm your results. }}\end{array}$

$$f(x)=x^{3}, \quad(2,8)$$

Answer

$y=12 x-16$

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## Discussion

## Video Transcript

so similarly, we have to find a tent in Manitou Defection. F X equals your expert tree and opponent. You ain't so the attention that it has a formula. Why don't you I express be when I am equal to the frame off the Jew. So we need to find, uh, yeah, Graham off. Thanks first. So I fret that grandma off next ego Judith Tree X Square. So it isn't a guy's back, uh, brown up to you the ankle to three times that you x juice square. It's a juice worked. Your father comes to institute drowned equals number. Line becomes Why a court trial. Let's be. And we used the point. Now something's done. What you ate on? Absolutely. You said with Julia, Let's be so we have heard we're good. You gently far. Let's be so doesn't miss being equal. You minus 16. Why trail? Thanks. My nice six then won best dancer. Oh,

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