Question

Find dy, dx if f(x) = (x + 2)7x.

a. the product of the quantity 7 times the natural log of the quantity x plus 2 plus 7 times x over the quantity x plus 2 and the quantity x plus 2 raised to the 7x power
b. 7 times the natural log of the quantity x plus 2 plus 7 times x divided by the quantity x plus 2
c. 7x(x + 2)(7x − 1)
d. 7xln(x + 2)

Answer 1

if you could post a screenshot of the material, that'd help :)

Answer 2

What do you mean? @jdoe0001

Answer 3

tis easier than reading such and such at the such exponent, all over that, and under and below that underneath such and such :)

that way we can remove any ambiguities

Answer 4

Ohh well I am taking this online one second. I will screen shot it.

Answer 5

This is what the answers look like.

Answer 6

@jdoe0001

Answer 7

hey can i answer.

Answer 8

I'm kinda confused here so 7x(x+2) is your equation?

Answer 9

I know how to differentiate

Answer 10

i think @aryana_maria2323 your equation something like this\[y=(x+2)^{7x}\]

Answer 11

Hmmm?

Answer 12

It all depends on what it is its either going to be the chain rule or product rule

Answer 13

take log both the side\[\log(y)=7xlog(x+2)\]now differentiate

Answer 14

\[(1/y)(dy/dx)=7x+7(x+2)\]\[dy/dx=[7x+7(x+2)]y\]now put the value of 'y'

Answer 15

Sorry I was having computer problems. The equation is f(x)= (x+2)^7x

Answer 16

@newtonson

Answer 17

Can you help @Nnesha

Answer 18

You have to take log of both sides so the 7x can go out front

Answer 19

i have already solve your problem

Answer 20

Newton im confused when you take the log wouldnt it be 1/the inside?

Answer 21

Just kidding thats the natural log but I thought when you were differetiating a lo isnt it 1/alogx

Answer 22

@newtonson

Answer 23

Wait can you please draw out the steps so I can see it easier?

Answer 24

Im on my phone so idk how to draw it :(

Answer 25

Oh good it calls for natural log, much easier

Answer 26

Okay, @newtonson said he solved my problem already but I don't see where he got the answer.

Answer 27

I don't understand how he got it

Answer 28

Can you please work it out how you would and try to help me get the answer?

Answer 29

Yes I can go on my computer so I would draw it out for you

Answer 30

If you would like

Answer 31

Yes, thank you!

Answer 32

your answer something look like that\[dy/dx=[7x/(x+2)^{7x}]+[7(x+2)/(x+2)^{7x}]\]

Answer 33

That is none of the answers though

Answer 34

I drew out all the possible answers.

Answer 35

sorry,\[y=(x+2)^{7x}\]\[\ln y=7x \ln (x+2)\]\[(1/y)(dy/dx)=[7x/(x+2)]+7\ln (x+2)\]\[dy/dx=[[7x/(x+2]+[7\ln (x+2)]](x+2)^{7x}\]

Answer 36

this was right solution sorry for mistake

Answer 37

your option 'a' is right one

Answer 38

im getting there

Answer 39

hey @aryana_maria2323 are you there

Answer 40

Yes thank you @newtonson when I did it that is what I got to. Thank you again.

Answer 41

got it?

Answer 42

Can you help me with a few more questions @newtonson

Answer 43

Yes. Thank you for the help @kayders1997 Can you also help me with a few more questions?

Answer 44

ok, if i done, i can

Answer 45

Yes I can try, I'm sorry drawing might take 10 minuntes

Answer 46

whats your question?

Answer 47

One second. I was trying to answer another problem I knew how to do.

Answer 48

This is my question @kayders1997

If 3x2 + y2 = 7 then evaluate the second derivative of y with respect to x when x = 1 and y = 2. Round your answer to 2 decimal places. Use the hyphen symbol, -, for negative value

Answer 49

You there @kayders1997