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Use the Fundamental Theorem of Calculus to find an expression for the derivative of the given function defined on the given interval, if it exists.

Use the Fundamental Theorem of Calculus to find an expression for the derivative of the given function defined on the given interval, if it exists.

F(x)=1xtlntdt , [1, 4]

a. F'(x)= xlnx on [1, 4]

b. F'(x) is not defined over all of [1, 4]

c. F'(x)= x21x2lnx on [1, 4]

d. F'(x)= 4ln4xlnx on [1, 4]

e. None of the above

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