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OpenStudy (mtalhahassan2):
Determine the points on the graph of y=3x/x-4 where the slope of the tangent is -12/25
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OpenStudy (mtalhahassan2):
Can someone help!!
OpenStudy (mtalhahassan2):
@Redneckk__Lifee
OpenStudy (mtalhahassan2):
@amoodarya
OpenStudy (welshfella):
you need to find the derivative of the function
use the quotient rule
OpenStudy (mtalhahassan2):
but how where we have to put the slope
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OpenStudy (welshfella):
can you do that . Have you done any calculus?
OpenStudy (welshfella):
the slope will be the derivative and you equate it to -12/25
Then solve for x
OpenStudy (mtalhahassan2):
can you plz show
OpenStudy (mtalhahassan2):
i know how to find the derivation of this equation using quotient
OpenStudy (welshfella):
y' = 3(x - 4) - 3x * 1
-------------
(x - 4)^2
= -12
-----
(x - 4)^2
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OpenStudy (welshfella):
now this equlas -12/25
so we have
-12 -12
----- = ------
(x - 4)^2 25
Solve this for x.
OpenStudy (welshfella):
as the numerators are both the same we can write
(x - 4)^2 = 25
OpenStudy (welshfella):
now its easy
once you have found the 2 values of x
plug them into the original function to find the y-values of the 2 points.
OpenStudy (welshfella):
OK?
OpenStudy (welshfella):
i have to go
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OpenStudy (mtalhahassan2):
@Fools101
OpenStudy (mtalhahassan2):
@aryandecoolest
OpenStudy (mtalhahassan2):
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