MA129 Lecture 17: Rates of Change and Derivatives

• School: WLU
• Department: Mathematics
• Course: MA129
• Professor: Anne-Marie Allison

Document Summary

Ma129 lecture 17 - rates of change and derivatives. This is also the slope of the tangent line f(x + x) f(x) What is the equation of the tangent line at x = 2 (dr. allison) Note: mt is the slope of the tangent line. Note: can use either h or x f(x + x) f(x) 1 x x + x x(x + x) X x x x x(x + x) x(x + x) = 1 at any x value x2 = the slope of (x) f. (x is y y0 = mt. X(x + x)x x(x + x) a ( )b. = 2 which can also be written as. Instantaneous rate of change is (x) f is read as f prime of x . X 0 x (x) f df is leibniz notation and is read as df by dx dx. Note: sometimes professors shorten with respect to as. X 0 f(x + x) f(x)