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A binary search requires a ordered list. The search first finds the data entry in the middle of the list, and checks whether it is larger or smaller than the data it is looking for. It then removed half t...

A queue is a FIFO (First In First Out) data structure.
Analogous to a production line, the first item in the list will be the first to be removed, the second the second and so on.

A stack is a LIFO (Last In First Out) data structure. 
Analogous to a stack of plates, every new data entry is placed (or pushed) onto the top of the stack, and to get the the data below it, you must...

Using "Integration by parts" or "reverse chain rule" .
Recall formula for intergration by parts: "∫f'(x) g(x) dx = f(x)g(x) - ∫f(x)g'(x)dx"
Then set f'(x) = 1, g(x)...

Use the chain rule: f'(x) = v(du/dx) +u(dv/dx).

Let u = 2x, du/dx = 2, v = lnx, dv/dx = 1/x

Using this information: f'(x) = 2lnx + 2x/x

This simplifies to f'(x...