equation of the tangent line to the curve y=e^(1-x)+3/(x^2)+1
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OpenStudy (anonymous):
at which point?
OpenStudy (anonymous):
Stfu b!tch
OpenStudy (anonymous):
@Mathmuse closed intereval (0,3)
OpenStudy (anonymous):
the equation will change based on which point on the interval you are evaluating because the slope at each point (the derivative) will be different
OpenStudy (anonymous):
Do you even lift |dw:1355431700124:dw|
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OpenStudy (anonymous):
?
\[\large y= e^{(1-x)}+\frac{3}{x^2+1}\]
OpenStudy (anonymous):
the e^(1-x) is on the line with the +3
OpenStudy (anonymous):
@Mathmuse
OpenStudy (anonymous):
stfu
OpenStudy (anonymous):
\[\large y= \frac{e^{(1-x)}+3}{x^2+1}\]
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OpenStudy (anonymous):
yes, need the equation of the tangent line at (1,2)
OpenStudy (anonymous):
ahhh..ok (1,2)
you'll need to fill in the following form
\[\large y - y_1 = m(x-x_1)\]
where the values with subscripts can be those two points (ie x1 = 1, y1 = 2)
and the m is the slope. this is found by taking the derivative of the function and subbing those same two x,y values