💬 👋 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

If $ f $ and $ g $ are the functions whose graphs are shown, let $ u(x) = f(x) g(x) $ and $ v(x) = f(x)/g(x). $(a) Find $ u'(1). $(b) Find $ v'(5). $

(a) 0(b) $-\frac{20}{27}$

01:26

Frank L.

Calculus 1 / AB

Chapter 3

Differentiation Rules

Section 2

The Product and Quotient Rules

Derivatives

Differentiation

Missouri State University

Campbell University

Oregon State University

Lectures

03:09

In mathematics, precalculu…

31:55

In mathematics, a function…

01:16

For the functions $f$ and …

02:17

03:33

For the given functions an…

02:06

03:29

01:27

04:43

For each pair of functions…

04:15

Find functions $f$ and $g$…

00:44

Let $f(x)=2 x-5$ and $g(x)…

04:32

(A) If $f(x)=5^{x-1}$ and …

Hey, it's clear. So in me rain here. So according to a graph, we could see that F of X is equal to negative one. Have X if X is less than or equal to zero two of X if X is between zero and two included and negative to fifth X minus two plus four. If X is bigger than two than me, ask the derivative, which is equal to negative 1/2 if X is less than zero too, if access between X zero and two and negative to fifth if X is bigger than two and we have G of X, which is equal to to minus X. If X is less than or equal to two than 3/5 times X minus two. If X is bigger than two, we have the derivative of G of X this equal to one negative one. If X is less than two and 3/5 if X is bigger than two. So for party we're gonna find for the derivative of you of one which is equal to the derivative of F of one times the derivative of G of one bless the derivative of up of one times the derivative of G of one. We plug this in to get two times one plus two times negative one. This becomes equal to zero for part B. We're finding for the derivative of V of five. Here we have G of five times the derivative of five minus F five times too derivative of G of five, all over G of five square. You put this in you get 9/5 times and negative to fifth, minus 14 over five times 3 15 a little over 9/5 square, which is equal to negative 20 over 27.

Numerade Educator

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…

For the functions $f$ and $g,$ find $a .(f+g)(x), b .(f-g)(x)$ c. $(f \cdot …

For the given functions and find:(a) $f \circ g$(b) $g \circ f$(…

For each pair of functions, find (a) $(f \circ g)(1)$ (b) $(g \circ f)(1) ;(…

Find functions $f$ and $g$ such that $f(g(x))=\left(x^{2}+1\right)^{5}$ Find…

Let $f(x)=2 x-5$ and $g(x)=x+1 .$ Find each of the following function values…

(A) If $f(x)=5^{x-1}$ and $g(x)=2^{x+1},$ graph $f$ and $g$ on the same Cart…