All categories

3 years ago

Find f′ in terms of g′

Mathematics

1 answer:

vagabundo [1.1K]3 years ago

3 0

9514 1404 393

Answer:

(e) f′(x)=2xg(x)+x²g′(x)

Step-by-step explanation:

The product rule applies.

(uv)' = u'v +uv'

Here, we have u=x² and v=g(x). Then u'=2x and v'=g'(x).

f(x) = x²·g(x)

f'(x) = 2x·g(x) +x²·g'(x)

You might be interested in

Sistema de ecuaciones.5x+2y=-152x-2y=-6

Zolol [24]

Tnemos el sisema de ecuaciones:

$\begin{gathered} 5x+2y=-15 \\ 2x-2y=-6 \end{gathered}$

Podemos resolverlo por eliminación sumando ambas ecuaciones y eliminando y. Asi podemos resolver para x:

$\begin{gathered} (5x+2y)+(2x-2y)=(-15)+(-6) \\ 7x+0y=-21 \\ x=-\frac{21}{7} \\ x=-3 \end{gathered}$

Ahora podemos resolver para y con cualquiera de las dos ecuaciones:

$\begin{gathered} 2x-2y=-6 \\ 2\cdot(-3)-2y=-6 \\ -6-2y=-6 \\ -2y=-6+6 \\ -2y=0 \\ y=0 \end{gathered}$

Respuesta: x=-3, y=0

7 0

1 year ago

Isaiah needs to order some new supplies for the restaurant where he works. The restaurant needs at least 793 spoons. There are c

irga5000 [103]

I don’t know thanks for the points

6 0

2 years ago

Can someone please explain with answer?

ira [324]

Using: A^2+b^2=c^2

A&b= (√10)^2=10

10+10=c^2

20=c^2

(take the square root of 20)

c=2√5

Your answer is D

7 0

3 years ago

Read 2 more answers

19 books on a shelf. 8 of these books are new. The rest of them are used. What is the ratio of new books to used books

harkovskaia [24]

Answer:

1:8

Step-by-step explanation:

You subtract 19 and 8, and you get 11 then you put them in ration form

Step-by-step explanation:

5 0

3 years ago

Jennifer has a credit card with an APR of 10. 22% and a billing cycle of 30 days. The following table shows Jennifer’s credit ca

ArbitrLikvidat [17]

Jennifer's January finance charge will be $0.6717 more if it is calculated using the previous balance method.

<h3>what is the difference between the previous balance method and the adjusted balance method?</h3>

Previous balance method: Interest charges are based on the amount owed at the beginning of the previous month's billing cycle.

Adjusted balance method: Bases finance charges on the amount(s) owed at the end of the current billing cycle after credits and payments have been posted.

the total amount on which interest will be applied using the previous balance method = 807.94+41.81+75+18.65 = $943.4

so, interest levied on this= 943.4*10.22*(30/360)*(1/100)= $8.0346

now, the total amount on which interest will be applied using the adjusted balance method = 807.94+41.81+75+18.65-53.88-25 = $864.52

so, interest levied on this = 864.52*10.22*(30/360)*(1/100)= $7.3628

difference between charges by previous balance method and adjusted balance method = 8.0346-7.3628 = $0.6717

therefore, Jennifer's January finance charge will be $0.6717 more if it is calculated using the previous balance method.

to get more about the previous balance method and the adjusted balance method please refer to the link,

brainly.com/question/14351468

3 0

2 years ago

Read 2 more answers