SOLUTION: Find the area of the triangle formed by x and y axis and the tangent line to {{{ f(x) = 1/x^2 }}} at points ( 3, f(3) )

SOLUTION: Find the area of the triangle formed by x and y axis and the tangent line to {{{ f(x) = 1/x^2 }}} at points ( 3, f(3) )

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Question 909276: Find the area of the triangle formed by x and y axis and the tangent line to
at points ( 3, f(3) )
Answer by josgarithmetic(39617) (Show Source): You can put this solution on YOUR website!

-
at 3 is .
Line containing that slope and (3,f(3)) is

------One point is obviously (0, 1/3) and another would be (0,0).

Use the linear equation to find the x-axis intercept (when y=0).

-------The point being, ( 9/2, 0 ).

SUMMARY:
The triangle's points are ( 0,0 ), ( 9/2, 0 ), and ( 0, 1/3 ).
Finish the area calculation.
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