In this problem you will use Rolle's theorem to determine whether it is possible för the function f(x) = 6x"+8x – 12 to have two or more real roots (or, equivalently, whether the graph of y = f(x) crosses the x-axis two or more times). Suppose that f(x) has at least two real roots. Choose two of these roots and call the smaller one a and the larger one b. By applying Rolle's theorem to f(x) on the interval [a, b), there exists at least one numberc in the interval (a, b) so that f'(c) = The values of the derivative f'(x) = are always ? and therefore it is O for f(x) to have two or more real roots.

Q: 7. f(x)

A: 4. Given function is: fx=x2-1 Given interval is -1,2. Then we get, f'x=ddxx2-1=2x Points of extrema…

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A:

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Q: Find the root of x+1/x=3 where x is not equals to 0

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A:

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