MIT 18.02 Multivariable Calculus, Fall 2007. ProfessorElvisZap. I'm a going to tell you all you need to knowTo be the master rapper of the calculus show:Now the first thing you do is to take the limit; Yes that's right, that's how to begin it.You don't need to use epsilon delta stuff,Four simple rules are going to be enough: The limit of a constant is still a constantAnd the limit of a sum is the sum of the limitsThe limit of a product is the product of the limitsAnd the limit of the quotient is the quotient of the limitsprovided that the limit of the denominator is not zero.This last condition is certainly necessary for in this case you must be clever!
The power rule is very simpleusing it will cure your pimplesSee the derivative of ex to the enis en times ex to the en minus oneen times ex to the en minus onedon't be frightened don't be scareddifferentiate the function ex squaredYes the derivative of ex to the two is two times ex The next of the rules that we will employIs the product rule so stop calling me "Boy!
" 18.01SC Single Variable Calculus, Fall 2010.