equation of tangent line to a graph at a point using derivat

twiggyg93

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Oct 1, 2008
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If I had a question like
"Find the equation of the line tangent to the graph of y = x^2 + x - 2 at the point x = -2."
How would I find the equation? Can someone help me through this problem please?
 
you need two things ...

the coordinates (x,y) of the point of tangency, and

the value of the slope at that point.

you've been given the x-value for the point of tangency, how will you find the y-value?

what expression gives you the slope at any point on the given curve? how would you use that expression to find the specific slope?

once you've found those two things, use the point-slope form of a linear equation to get the desired equation.
 
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