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Answered: 1. cos(xy) + secy = 5 2. Arcsin(x/y) = 4x + 3y 3. 4ln(Arctan x) = 1- y 4. y = 5/(sin3x +cos3x) 5. е(2x-у) — 2х - у | bartleby
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This one looks ugly… until you spot one identity Differentiate y equals arcsin of two x divided by one plus x square Use the identity: sine of two theta equals two tan theta divided by one plus tan square theta Let x equals tan theta → the expression becomes sine of two theta So y equals arcsin of sine two theta equals two theta And since theta equals arctan x y equals two arctan x Differentiate → derivative is two divided by one plus x square Math isn’t hard. Patterns make it easy. #Calculus #D
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