MATH114 Chapter Notes - Chapter Lectures 13-17: Lowest Common Denominator, Quotient Rule, Tangent

• School: University of Alberta
• Department: Mathematics
• Course: MATH114
• Professor: All

Document Summary

Differentiation formulas the product and quotient rules. = lim 0( + ) () is the slope of the tangent line at =. lim () () =() is a position function () = lim 0( + ) () () = lim () () is the instantaneous velocity at =. The derivative of at =, denoted by () is defined by: or if the limit exists if the limit exists if the limit exists or. * in general, if is a quantity that depends on , i. e. =(), then () gives the rate of change of at =. The derivative of at =, denoted by () is defined by: Note: the domain of may be smaller than the domain of . Let () = 1 +3 (a) find an equation of the tangent line to the curve whose slope is 2. (b) find equations of the tangent line and normal line to the curve at = 1.