Anyone know how to solve this prime problem?

I

iceman45575

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Aug 31, 2019
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Hello,
I am stuck on this problem for my homework and was wondering if someone could show me how to do it.

If ?(?)=4?2, find ?′(1)

Thanks!
 
iceman45575 said:
Hello,
I am stuck on this problem for my homework and was wondering if someone could show me how to do it.

If ?(?)=4?2, find ?′(1)

Thanks!
Click to expand...
I am assuming the function in question is:

f(x) = 4x2

or it can also be written as:

f(x) = 4x^2

Is that correct assumption?
 
iceman45575 said:
No, I don't know how to take derivatives... care to show me?
Click to expand...

There are two rules of differentiation you want to consider for this particular problem:

1.) [MATH]f(x)=k\cdot g(x)\implies f'(x)=k\cdot g'(x)[/MATH]
2.) [MATH]f(x)=x^r\implies f'(x)=rx^{r-1}[/MATH] where \(r\in\mathbb{R}\)

Can you proceed?
 
Ok what do you know or understand by this:
?′(1) or in general ?′(x)?
Do you know how to calculate this? Do you know the relationship between the slope of a function and this sign?
 
iceman45575 said:
If ?(?)=4?2, find ?′(1)
Click to expand...
iceman45575 said:
No, I don't know how to take derivatives... care to show me?
Click to expand...
Please tell us what you have learned, so we can know where to start. Are you just saying that you have been taught how to differentiate, but have not yet done the work necessary to learn it? Or does this problem come from some place other than a course you are taking? If it's a placement test, for example, then it's better to show that you have not learned this material than to place in a class you are not prepared for.
 
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