💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade Free for 7 Days

Like

Report

Where is the function $ h(x) = \mid x - 1 \mid + \mid x + 2 \mid $ differentiable? Give a formula for $ h' $ and sketch the graph of $ h $ and $ h'. $

01:43

Frank L.

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 1

Derivatives of Polynomials and Exponential Functions

Derivatives

Differentiation

Oregon State University

University of Nottingham

Idaho State University

Boston College

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

00:23

Graph the function.$$<…

00:18

Sketch the graph of functi…

01:38

Identify the underlying ba…

00:32

00:57

Sketch a complete graph of…

00:56

00:51

Use the graph of the funct…

01:12

03:13

03:26

Sketch the graph of each f…

Hey, it's clear. So when you read here so we have Agent X is equal to the absolute value of X minus one was the absolute value of X plus two is equal to negative X minus one minus X plus two. This is for X is less than or equal to negative, too. We have negative X minus one less X plus two, and this is for access between negative two and one. We have X minus one less X plus two. This is for X is larger than one. These equations can be rewritten and simplified. Negative two X minus one. This can be three, and this is two x plus one When we differentiate it, we had the following negative, too access less than or equal to negative, too. Zero for access between negative two and one and two for X is bigger than one. So we see that it's not continuous, but negative two and one so it does not exist. That X is equal to negative two and one. When we take the formula, we get the absolute value of X plus two over X plus two. What's the absolute value of X minus one what were X minus one? We're going to also draw a graph where reference When we get the original graph. Just a Jiff. X looks like this. And then we have our derivative grab in red.

In mathematics, precalculus is the study of functions (as opposed to calculu…

In mathematics, a function (or map) f from a set X to a set Y is a rule whic…

Graph the function.$$h(x)=-\frac{1}{2} x+1$$

Sketch the graph of function.$$h(x)=(x+2)^{2}+2$$

Identify the underlying basic function, and use transformations of the basic…

Graph the function.$$h(x)=-\frac{1}{3} x+2$$

Sketch a complete graph of the function.$$h(x)=2^{x^{2}}$$

Sketch a complete graph of the function.$$h(x)=2^{-x^{2}}$$

Use the graph of the function $f$ in the figure to sketch the graph of the f…

Sketch the graph of each function.$$h(x)=-|x+2|+3$$