19 окт. 2016 г. · Let's consider some piecewise functions first. Find b and c so that f(x) is differentiable at x = 1 Let's work on continuity first. |
5 сент. 2017 г. · 1. For each function, show work to determine whether the function is continuous or non-continuous, differentiable or non-differentiable. |
Practice find constants a and b so that the function is continuous and differentiable. a. f(x) = {2x²+2x+a. -2bx+1. Continuous (at x=-1) x1 differentiable at x ... |
In the function below, k and m are constants. If f is differentiable, find the values of k and m. Show all work and justification (using Calculus notation ... |
Most functions that are given are continuous in their domain, and functions that are not continuous are not differentiable. So functions given usually tend to ... |
Graphically, f is differentiable at x = a if f has a non-vertical tangent line at x = a. (The derivative, which is the value of the above limit, ... |
Theorem 1: Suppose g is differentiable on an open interval containing x=c. If both and exist, then the two limits are equal, and the common value is g'(c). |
There are several definitions that you need to know: Definitions at a point: Function f(x) is differentiable at x = c if and only if [(C) exists. That is, [(c) ... |
9) Write a rule for the sign function s(n): s(n) is -1 when n is negative, +1 when n is positive, and 0 otherwise. 10) Write a rule for the function shown. x y. |
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