Question 4: Find all values of parameter m so that the function y = – x3 + 2×2 + mx reaches its maximum at x = 1
We have: y’ = -3x2 + 4x + m.
y” = – 6x + 4.
+ y'(1) = 0 ⇔ -3 + 4 + m = 0 ⇔ m = -1.
+ y”(1) = – 2 < 0 satisfy.
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Question 4: Find all values of parameter m so that the function y = – x3 + 2×2 + mx reaches its maximum at x = 1
We have: y’ = -3x2 + 4x + m.
y” = – 6x + 4.
+ y'(1) = 0 ⇔ -3 + 4 + m = 0 ⇔ m = -1.
+ y”(1) = – 2 < 0 satisfy.
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