6. Use Fermat's method to find a) the slope of the general tangent to the f(x) = x² − 6x +11, b) the length of the sub-tangent line to f(x) = x² - 6x +11 at point x = 4.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.1: Antiderivatives
Problem 7YT: YOUR TURN Find an equation of the curve whose tangent line has slope f(x)=3x1/2+4 and passes through...
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6. Use Fermat's method to find a) the slope of the general tangent to the f(x) = x² - 6x +11, b) the length of the
sub-tangent line to f(x) = x² − 6x + 11 at point x = 4.
Transcribed Image Text:6. Use Fermat's method to find a) the slope of the general tangent to the f(x) = x² - 6x +11, b) the length of the sub-tangent line to f(x) = x² − 6x + 11 at point x = 4.
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