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What is the least order of accuracy for the second derivatives?

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What is the least order of accuracy for the second derivatives?

(a) first-order

(b) third-order

(c) fourth-order

(d) second-order

I had been asked this question during a job interview.

My doubt is from Finite Difference Method topic in portion Finite Difference Methods of Computational Fluid Dynamics

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The correct answer is (d) second-order

The best explanation: The least possible order of accuracy for the second derivatives is 2. There cannot be a first-order second derivative as the second derivatives need terms less than the second order for the approximation.

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