Help with C2 Differentiation question Watch

Mad_Cat_Lady
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Hello lovely internet people, can someone explain how you solve this question?

Tanks!
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thefatone
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(Original post by Mad_Cat_Lady)
Hello lovely internet people, can someone explain how you solve this question?

Tanks!
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i am confuse i don't quite understand the expand the y-coordinate bit :/ doesn't quite make sense to me..
Kvothe the arcane ZackenStudent403
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Zacken
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(Original post by Mad_Cat_Lady)
Hello lovely internet people, can someone explain how you solve this question?

Tanks!
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You know that f(x) = 3x^2 + 1 so that f(x + \delta x) = 3(x + \delta x)^2 + 1. (i.e: wherever you see x, replace it with x + \delta x). Expand the square and write out all the terms.
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Student403
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Coordinate of y when x = x is 3x2+1

The question is asking you to replace x here with x+dx and expand to get this new y coordinate (y+dy) in terms of x and dx
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Student403
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(Original post by Zacken)
You know that f(x) = 3x^2 + 1 so that f(x + \delta x) = 3(x + \delta x)^2 + 1. (i.e: wherever you see x, replace it with x + \delta x). Expand the square and write out all the terms.
9.5/14

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Student403
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(Original post by thefatone)
i am confuse i don't quite understand the expand the y-coordinate bit :/ doesn't quite make sense to me..
Kvothe the arcane ZackenStudent403
Please do not tag so many people at the same time.

As you can see 3 separate people have gone through the effort of answering the same question and that is unnecessary time wasted.

EDIT: KtA has now deleted his answer having seen 2 other people answer the question, which just wastes his time.
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thefatone
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(Original post by Student403)
Please do not tag so many people at the same time.

As you can see 3 separate people have gone through the effort of answering the same question and that is unnecessary time wasted.

EDIT: KtA has now deleted his answer having seen 2 other people answer the question, which just wastes his time.
sorry :ashamed:
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Mad_Cat_Lady
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(Original post by Zacken)
You know that f(x) = 3x^2 + 1 so that f(x + \delta x) = 3(x + \delta x)^2 + 1. (i.e: wherever you see x, replace it with x + \delta x). Expand the square and write out all the terms.
How do you do the next part?
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Zacken
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(Original post by Mad_Cat_Lady)
How do you do the next part?
As they said... plug this into the formula given for \frac{\mathrm{d}y}{\mathrm{d}x}.
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Student403
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(Original post by thefatone)
sorry :ashamed:
That's alright. Didn't mean it harshly if it sounded that way
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morgan8002
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Nice.
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