. See explanation.
is a composite function about 
.![\displaystyle \begin{aligned}h'(x) &= \frac{d}{dx}[g(f(x^{2}))] \\ &=g'(f(x^{2}) \cdot \frac{d}{dx}[f(x^{2})]&&\text{Chain rule; treat} \; f(x^{2})\;\text{as the inner function.} \\&=g'(f(x)^{2})\cdot f'(x^{2})\cdot \frac{d}{dx}[x^{2}] &&\text{Chain rule; treat} \; x^{2}\;\text{as the inner function.} \\ &= g'(f(x^{2}))\cdot f'(x^{2}) \cdot 2\;x&&\text{Power Rule.}\; \frac{d}{dx}[x^{2}] = 2\;x. \\&= 2\;x \cdot f'(x^{2})\cdot g'(f(x^{2}))\end{aligned}](/tpl/images/0439/5127/6cfed.png)
.
:
;
;
;
;
.
.Atable of values for f, g, f', and g' is given
x f(x) g(x) f'(x) g'(x)
1 2 4 3 -7
...
Mathematics, 02.01.2020 02:31 Adriingashley3521
Atable of values for f, g, f', and g' is given
x f(x) g(x) f'(x) g'(x)
1 2 4 3 -7
2 4 1 -5 8
4 1 2 6 -9
if h(x) = g(f( find h'(2)
the answer is -168. i've tried everything. no matter how far i go in using chain rule, i keep getting different answers and none of them are -168.
Answers: 3
Another question on Mathematics
Mathematics, 21.06.2019 14:30
Our goal is to collect email addresses from 60% of customers who purchase a product." so that means if i talk to 95 customers, i need to persuade to provide an email address?
Answers: 1
Mathematics, 21.06.2019 17:30
Assume that 1400 births are randomly selected and 1378 of the births are girls. use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high. choose the correct answer below. a. the number of girls is neither significantly low nor significantly high. b. the number of girls is significantly high. c. the number of girls is significantly low. d. it is impossible to make a judgment with the given information.
Answers: 1
Mathematics, 21.06.2019 18:00
The base of a triangle exceeds the height by 7 centimeters. if the area is 400 square centimeters, find the length of the base and the height of the triangle.
Answers: 1
Mathematics, 21.06.2019 18:00
Mozart lenses inc. recently introduced seelites, a thinner lens for eyelasses. of a sample of 800 eyeglass wearers, 246 said they would purchases their next pair of eyeglasses with the new lenses. lenses inc. estimates that the number of people who purchase eyeglasses in a year is 1,700,000. most eyeglasses wearer buy one new pair of eyeglasses a year. what is the annual sales potential for the new lenses.
Answers: 1
You know the right answer?
Questions
Mathematics, 08.02.2021 08:20
Mathematics, 08.02.2021 08:20
Mathematics, 08.02.2021 08:20
History, 08.02.2021 08:20
English, 08.02.2021 08:20
History, 08.02.2021 08:20
Mathematics, 08.02.2021 08:20
Mathematics, 08.02.2021 08:20
Social Studies, 08.02.2021 08:20
English, 08.02.2021 08:20
English, 08.02.2021 08:20
Mathematics, 08.02.2021 08:20
Mathematics, 08.02.2021 08:20
Computers and Technology, 08.02.2021 08:20
