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First Derivative Test for Local Extrema
Grade Level
Calculus I
CAL1.79 First Derivative Test for Local Extrema
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A sign chart for J' is made from J'(x) = (x + 9)(x - 1)
2
/(x - 5)
2
. Use the sign of J' near x = -9 to classify J at x = -9.
A
J has a local minimum at x = -9.
B
J has neither a local maximum nor a local minimum at x = -9.
C
J has a local maximum at x = -9.
D
J has both a local maximum and a local minimum at x = -9.
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