christian parkinson greprep calculus i practice problem solutions 1 week 1 calculus i practice problem solutions problem 1 what is the tangent line to the graph of y x ex ...
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...Christian parkinson greprep calculus i practice problem solutions week what is the tangent line to graph of y x ex at solution given by evaluate lim for r using l h opital s rule we see this gives a rst order approximation when cos sin let c find minimum value f cx among setting derivative zero shows that extreme points occur log second always positive so any point thus clog in neighborhood have and then compute limit xsin z supposethatf bx chasanon simplerootatx whatisf if quadratic polynomial has non simple root it multiple here continuously dierentiable on with all greatest possible fundamental theorem dx bound can be realized ln term irrelevant since tends g e where which following necessarily true constant b linear d none above note eg temptation use power or exponential but current form neither apply both base exponent depend write j k numbers increasing...