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If f(x) = 4x(sin x + cos x) , find

If f(x) = 4x(sin x + cos x) , find-example-1
User Gecko
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1 Answer

5 votes

It was found that


f^(\prime)(x)=4xcos(x)-4xsin(x)+4sin(x)+4cos(x)

Then, evaluating at x=4,


f^(\prime)(4)=4*4cos(4)-4*4sin(4)+4sin(4)+4cos(4)=20cos(4)-12sin(4)

Therefore, the exact answer is 20cos(4)-12sin(4)

User Sven Hasselbach
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