For the given function f(x) = sinx cosx; [0, 2n]: a. Find the critical points of...
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For the given function f(x) = sinx cosx; [0, 2n]: a. Find the critical points of the following functions on the domain or on the given interval. b. Use a graphing utility to determine whether each critical point corresponds to a local maximum, or neither. For the given function f(x)=x√2-x²;[-√², √₂]: a. Find the critical points of f on the given interval. b. Determine the absolute extreme values of f on the given interval (if they exist). c. Use the graphing utility to confirm your conclusions. For the given function f(x) = sinx cosx; [0, 2n]: a. Find the critical points of the following functions on the domain or on the given interval. b. Use a graphing utility to determine whether each critical point corresponds to a local maximum, or neither. For the given function f(x)=x√2-x²;[-√², √₂]: a. Find the critical points of f on the given interval. b. Determine the absolute extreme values of f on the given interval (if they exist). c. Use the graphing utility to confirm your conclusions.
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