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Thepotemich [5.8K]
2 years ago
6

If

Mathematics
1 answer:
Elena L [17]2 years ago
3 0

Evaluate the derivative of f(x) at x = 1. I'll use the limit definition:

\displaystyle \lim_{x\to1} \frac{f(x)-f(1)}{x-1} = \lim_{x\to1} \frac{6x^2-x^3-5}{x-1} = \lim_{x\to1}(-x^2+5x+5) = 9

Then using the point-slope formula, the equation of the tangent line to f(x) at the point (1, 5) is

y - 5 = 9 (x - 1)

y = 9x - 4

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