P f(x) dx = 8, prove that f takes the value 4 at least once on the interval [1,3]. there is a value c in the interval such that f(c) = 4. Clearly state any theorems or If f is continuous and In other words, prove that arguments you use.

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A: On solving this we will get

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A: According to product rule of differentiation and according to power rule of differentiation .

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A: This question about differentiation

Q: 3)Verify Rolle's Theorem for the function f(x) = 5² + 3 defined over the interval [-4, 4]. Justify…

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A: Domain is set where function is defined

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