1. Find the derivative of the function f(x) = (x + x). - 2. Find all...

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1. Find the derivative of the function f(x) = (x + x). - 2. Find all critical numbers of the function f(x) = (2x + 1) (1 x)7. 3. Find the absolute maximum and minimum of the function f(x) = x - 2x on the interval [2, 2]. 4. Verify that the conditions of the Mean Value Theorem hold. Next find the number c which satisfies the conclusion of the Mean Value Theorem for the function f(x) = x5 on the interval [0, 1]. 5. Show that the equation f(x) = x + x + x + 5 = 0 has exactly one solution. Hint: first show that there is at least one solution. Next show that two distinct solutions is impossible. 1. Find the derivative of the function f(x) = (x + x). - 2. Find all critical numbers of the function f(x) = (2x + 1) (1 x)7. 3. Find the absolute maximum and minimum of the function f(x) = x - 2x on the interval [2, 2]. 4. Verify that the conditions of the Mean Value Theorem hold. Next find the number c which satisfies the conclusion of the Mean Value Theorem for the function f(x) = x5 on the interval [0, 1]. 5. Show that the equation f(x) = x + x + x + 5 = 0 has exactly one solution. Hint: first show that there is at least one solution. Next show that two distinct solutions is impossible.

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1 To find the derivative of fx x 3 x 5 we can use the chain rule Let u x 3 x then fx u 5 Applying th... View the full answer