"DNA denatures at a higher temperature than does protein, yet its structure depends on relatively weak hydrogen bonds. Why the difference in denaturation temperature"

The option are not given and the options are:

Proteins are denatured by breaking covalent bonds.

Linear molecules like DNA are inherently stable.  

Individual hydrogen bonds may be weak, but DNA structure is stabilized by many thousands or millions of these bonds - far more than found in proteins.

The statement is incorrect; it actually takes far more energy to denature proteins than it does to denature DNA.

The correct answer is- Individual hydrogen bonds may be weak, but DNA structure is stabilized by many thousands or millions of these bonds - far more than found in proteins.

Explanation:

Proteins become denatured when it looses its three-dimensional structure. Disulfide bond and hydrogen helps in stabilizing the three-dimensional structure of proteins and if these bonds break due to any factor protein lost its structure and function.

DNA is made up of a large amount of hydrogen bond because in AT base-pairing two hydrogen bonds are required and in GC base pairing three hydrogen bonds are required. Therefore it can be concluded that as more hydrogen bonds stabilizes DNA than protein its melting temperature is higher than protein.

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