Find the derivative of the given function. f(x) = e6 sin(x) 6 sin(x) cos(x) f'(x)= 6e What is the domain of f(x)? O (0,00) O (-1, 1) O (-∞0, 0) Ⓒ (-00,00) O [-1, 1] What is the domain of f'(x)? Ⓒ (-00,00) O (0,00) O (-∞0, 0) O (-1, 1) O [-1, 1] Find all x-values at which the function has horizontal tangent lines. (Enter your answers as a comma-separated list. Use n to denote any arbitrary integer values. If an answer does not exist, enter DNE.) X = X Use the chain rule for finding the derivative of a function raised to a numerical power. How are the domain of a function and the domain of its derivative related?

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A: Since you have posted a question with multiple question, we will solve first two question for you…