Derivative of function y = x ^ 2E ^ - x

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• 1. What is the derivative of F (x) = √ (2x-x ^ 2) I calculated 2 - 2x √ (2x - 2), but I think it must be wrong, because I don't know how to calculate this compound How to find the derivative with radical? Then how to calculate the monotone interval after derivation?
• 2. The derivative of F (x) = (2x) ^ 2 is
• 3. The derivative of F (x) + 2F (1) = 1 + LNX / 2 to find f (x) F (x) + 2F '(1) = 1 + (LNX) / 22F' (1) is the derivative of twice f (1)
• 4. Why the derivative of F Λ 2 (x) is not 2F (x) If u = f (x), then y = u Λ 2, y '= 2U = 2F (x)
• 5. It is proved that if f (x) has second derivative on [a, b], f (a) = f (b), and f (x) = (x-a) ^ 2F (x), then there is at least one point ξ ∈ (a, b), f (ξ) = 0
• 6. Why is the derivative of F (x) = 2F (2-x) f '(x) = - 2F' (2-x)
• 7. F (x-1) = 2x ^ 2-x to find the derivative of F (x)
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• 12. The derivative of log3cos ^ 2x? The answer is with log3e. How to calculate it?
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• 16. Let y = x ^ 2x, find the second derivative of Y
• 17. F (x + y) = f (x) f (y), and the derivative of F (0) exists. It is proved that f '(x) = f (x) f' (0)
• 18. What is the second derivative of F '' (x) and y = (x ^ 2), The answer is 2F '(x ^ 2) + 4x ^ 2F' '(x ^ 2)
• 19. If f '' (x) exists, find the second derivative of function y = f (x + e ^ - x)
• 20. The first problem f (x) = 3-2x, the second problem f (x) = 1 - (2 / x), the third problem f (x) = The first problem f (x) = 3-2x, the second problem f (x) = 1 - (2 / x), the third problem f (x) = x + (1 / x) and the fourth problem f (x) = X-2 radical X are solved