MATH 115 Chapter Notes - Chapter 3: Quotient Rule, Power Rule, Trigonometric Functions
Document Summary
3. 2 the product and quotient rules: don"t use the quotient rule every time you see a quotient. Sometimes it"s easier to rewrite a quotient first to put it in a form that is simpler for the purpose of differentiation: table of differentiation formulas: Note: in using the chain rule we work from the outside to the inside. Implicit differentiation consists of differentiating both sides of the equation with respect to and then solving the resulting equation for y": derivatives of inverse trigonometric functions. If we combine formula 2 with the chain rule: logarithmic differentiation, the power rule: In general there are four cases for exponents and bases: the number as a limit. 3. 7 rates of change in the natural and social sciences. The derivative can be interpreted as the instantaneous rate of change of y with respect to x. There are multiple applications in the areas of physics, chemistry, biology, economics, and other sciences.
