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Evaluate the derivative of the following function. f(x)=sin−1(e6sinx) Choose the correct answer below. A. f′(x)=1−e12sinx​6cosxe6sinx​ B. f′(x)=1−e6sinx​6sinxe6sinx​ C. f′(x)=1−e12sinx​6sinxe6sinx​ D. f′(x)=1−e6sinx​6cosxe6sinx​
Determine the location and value of the absolute extreme values of f on the given interval, if they exist. f(x)=−2x3+39x2−216x on {3,10} A. The absolute maximamimaxima is/are at x= (Use a comma to separate anwwers as needed. Type exact answers, uning radicals as needed) 8. There is no absoluse maximum of f on the given interval What isfare the absolute risimimamiminimu of f on the given interval? Select the correct cholce below and, if necessary, filin the answer baxes to complote your choice A. The absclite minimumiminima isiare at x= (Use a comma to separate answers-as needed Type exact answers using radicals as needed) B. There is no absolute minimum of f on the-given ineecval
Determine whether Rolle's theorem applies to the function shown below on the given interval If so, find the points) that are guaranteed to exst by Rolle's theorem f(x)=cos4xi​[8π​,83π​] Select the correct chaice below and, If necessary, fili in the answer box to complete your cholce A. Roile's Theorem applies and the point(s) guaranteed to axdist is/are x= (Type an exact answer, using n as needed Use a conuma to separate answers as needed) B. Rolle's Theorem does not apply.