MTALHAHASSAN2
  • MTALHAHASSAN2
Determine the points on the graph of y=3x/x-4 where the slope of the tangent is -12/25
Mathematics
katieb
  • katieb
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MTALHAHASSAN2
  • MTALHAHASSAN2
Can someone help!!
MTALHAHASSAN2
  • MTALHAHASSAN2
MTALHAHASSAN2
  • MTALHAHASSAN2

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welshfella
  • welshfella
you need to find the derivative of the function use the quotient rule
MTALHAHASSAN2
  • MTALHAHASSAN2
but how where we have to put the slope
welshfella
  • welshfella
can you do that . Have you done any calculus?
welshfella
  • welshfella
the slope will be the derivative and you equate it to -12/25 Then solve for x
MTALHAHASSAN2
  • MTALHAHASSAN2
can you plz show
MTALHAHASSAN2
  • MTALHAHASSAN2
i know how to find the derivation of this equation using quotient
welshfella
  • welshfella
y' = 3(x - 4) - 3x * 1 ------------- (x - 4)^2 = -12 ----- (x - 4)^2
welshfella
  • welshfella
now this equlas -12/25 so we have -12 -12 ----- = ------ (x - 4)^2 25 Solve this for x.
welshfella
  • welshfella
as the numerators are both the same we can write (x - 4)^2 = 25
welshfella
  • 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.
welshfella
  • welshfella
OK?
welshfella
  • welshfella
i have to go
MTALHAHASSAN2
  • MTALHAHASSAN2
MTALHAHASSAN2
  • MTALHAHASSAN2
MTALHAHASSAN2
  • MTALHAHASSAN2
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