primitive functions (1 Viewer)

[enigma_1]

Given f"(x) = 8 and f'(x) = 0 and y=3 when x=1, find the equation of y in terms of x.

Hellpppppp

Thanksss

 

[Carrotsticks]

Need more information.

I'm inclined to think that the curve is a quadratic y=ax^2+bx+c as that's what most of these questions tend to be.

 

[enigma_1]

Really? Hmm but couldn't you use Cx + D for function? Although that doesn't get you anywhere

Thanks though. I will quit dwelling on this question then haha

 

[Carrotsticks]

Really? Hmm but couldn't you use Cx + D for function? Although that doesn't get you anywhere

Thanks though. I will quit dwelling on this question then haha

There are infinitely many curves satisfying the conditions you provided, but there is one unique parabola satisfying it, which is why I'm inclined to think it's a parabola.

 

[anomalousdecay]

First integrate f ''(x), so that:



Now, substitute that f '(1)=0, so that: Is this correct in the question?





Integrate again:









So now we get the equation:

 

[integral95]

First integrate f ''(x), so that:



Now, substitute that f '(0)=0, so that: Is this correct in the question?



So the constant is zero.

Integrate again:









So now we get the equation:

it's actually f'(1) = 0, yeah it's not really clear lol