anonymous
  • anonymous
Find the equation of the line tangent to the graph of f at (3, 140), where f is given by f(x) = 8x^3 − 9x^2 + 5.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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AravindG
  • AravindG
just differentiate the cubic equation to get f'(x)
AravindG
  • AravindG
now f'(3) will give you slope of tangent
anonymous
  • anonymous
24x^2-18x

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AravindG
  • AravindG
now you have slope of tangent and a point in the tangent , use slope point form to write equation of tangent
anonymous
  • anonymous
f'(3)?
AravindG
  • AravindG
yep substite x=3 in the differential
anonymous
  • anonymous
so slope is 162
anonymous
  • anonymous
so now the mx+b?
AravindG
  • AravindG
slope point form y-y1=m(x-x1)
AravindG
  • AravindG
gt it?
anonymous
  • anonymous
yeah
AravindG
  • AravindG
:)
anonymous
  • anonymous
y-140=162(x-3)?
anonymous
  • anonymous
right
AravindG
  • AravindG
yep
anonymous
  • anonymous
thanks
AravindG
  • AravindG
welcomes

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