MATH-M 211 Lecture Notes - Lecture 4: Graph Of A Function, Silver Edition, University Of Manchester
Document Summary
9-13-13: as 0, msec = (something with) (something without ); mtan = (something without ) Anywhere slope of f(x) is undefined: derivative = slope of function at point. Differentiation- process of finding derivative of function: function is differentiable at x if its derivative exists at x and is differentiable on open interval (a, if it is differentiable at every point in interval. Other notations for derivative: - y is variable solved for, x is variable in function (y with respect to x, "- y prime (same as f"(x), - same as, - derivative with respect to x of (function) Find derivative of f(x) = 3x2 + 5: f"(x) = mtan , = 6x + 3(0, = 6x. Find derivative of y : y" = Finding derivative on ti-84 plus silver edition: math option 8 (nderiv, y = type in function graph. 2nd trace (calc) option 6 (dy/dx) enter x-value enter.
