SOLUTION: Find the equation of the tangent line at x= -3 for the function f(x)=1/x. Use limits.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Find the equation of the tangent line at x= -3 for the function f(x)=1/x. Use limits.       Log On


   

Question 844358: Find the equation of the tangent line at x= -3 for the function f(x)=1/x. Use limits.
Answer by Alan3354(69443) About Me  (Show Source):
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Find the equation of the tangent line at x= -3 for the function f(x)=1/x. Use limits.
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f(x)=1/x
f'(x) = -1/x^2
f'(-3) = -1/9 (the slope of the tangent at x = -3)
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f(-3) = -1/3 --> the point (-3,-1/3)
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y - y1 = m*(x - x1)
y + 1/3 = (-1/9)*(x + 3)
9y + 3 = -x - 3
x + 9y = -6