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whats up im vin and today i want to go through the 2012 ap calc a b multiple choice no calculator section and the first question here were taking the derivative of x sine x so we have to show up to the test knowing our formulas and for this one were going to use the product rule so this is the formula were going to need dont fall into the trap of doing 1 times cosine x which they dont even leave that as an answer choice so you cant even step in that trap if they wanted you to so here u is equal to x v is equal to sine x so we do the derivative of the first thing which is 1 times the second thing which is sine x plus and then we have x times the derivative of the second thing is going to be cosine x so now we just simplify this and this is going to match up which was b for the second question here were looking for the intervals in which the function f is increasing now the moment i hear that phrase in calculus f is increasing i just think f prime of x has to be positive so the
