Question 19: Which of the following functions has only a maximum but no minimum?

Constan yes \(y’ = – 40{x^3} – 10x = 0\)

0 and (0) = −ten < 0 so the function reaches its maximum at x = 0.

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Question 19: Which of the following functions has only a maximum but no minimum?

Constan \(y = – 10{x^4} – 5{x^2} + 7\) yes \(y’ = – 40{x^3} – 10x = 0\)

⇔ x = 0 and y‘‘(0) = −ten < 0 so the function reaches its maximum at x = 0.

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