Asked by Vivian
Determine the values of the constants α and β so that the function f (x) = x3 + αx2 + βx + δ may have a relative maximum at x = −3, and a relative minimum at x = 1.
Answers
Answered by
Reiny
For ease of typing, I will use
f(x) = x^3 + ax^2 + bx + c
take the derivative and the c will drop out
set this equal to zero, with x = -3 to get an equation in a and b
repeat with x = 1
you now have two equations in a and b, use your favourite grade 9 method to solve them
f(x) = x^3 + ax^2 + bx + c
take the derivative and the c will drop out
set this equal to zero, with x = -3 to get an equation in a and b
repeat with x = 1
you now have two equations in a and b, use your favourite grade 9 method to solve them
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