Mathematics
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OpenStudy (anonymous):
find the slope of the function's graph at the given point, then find and equation for the line tangent to the graph
f(x)=x-2x^2 , (1,-1)
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OpenStudy (anonymous):
start by solving for the slope of the equation
OpenStudy (anonymous):
okay
OpenStudy (anonymous):
do you know how to do that?
OpenStudy (anonymous):
i have to use this formula: y=mx+b?
OpenStudy (anonymous):
or y2-y1/ x2-x1?
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OpenStudy (anonymous):
x= 1?
OpenStudy (anonymous):
ok so now use the formula (y-y1)=m(x-x1)
where (x1,y1)=(1,-1)
OpenStudy (anonymous):
slope=1?
OpenStudy (anonymous):
no your slope will be m
OpenStudy (anonymous):
yes sorry
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OpenStudy (anonymous):
using that equation i get y= mx-2
OpenStudy (anonymous):
so y=x-2
OpenStudy (anonymous):
okay,
OpenStudy (anonymous):
now we need to find the inverse of the line
OpenStudy (anonymous):
wait are you sure that you wrote the initial equation right because that is a hyperbola
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OpenStudy (anonymous):
let me check again
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
it's y= mx-2
OpenStudy (anonymous):
for the origional equation f(x)=x-2x^2
OpenStudy (anonymous):
yes, its correct
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OpenStudy (anonymous):
ok well either way now we need to find the equation of a tangent line
OpenStudy (anonymous):
how do I that?
OpenStudy (anonymous):
1 sec g2g take a quiz b back in 10
OpenStudy (anonymous):
okay,np
OpenStudy (anonymous):
hmm after thinking about it i think i might have done this wrong
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OpenStudy (anonymous):
brb