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# Curves on graphs watch

1. Hi, im really struggling with this question, please could someone answer with a detailed explanation?
Thanks! (please see attached image)
2. (Original post by razzy02)

Hi, im really struggling with this question, please could someone answer with a detailed explanation?
Thanks! (please see attached image)
Well, let us know what you've tried already so we know what part you don't understand
3. (Original post by razzy02)

Hi, im really struggling with this question, please could someone answer with a detailed explanation?
Thanks! (please see attached image)
a) y=mx+c where m is the gradient just rearrange. in that form.
4. (Original post by junayd1998)
a) y=mx+c where m is the gradient just rearrange. in that form.
This doesn't actually work for this question, this is due to the question to having an in the equation instead of an like you suggested.

This can actually be seen from the curve itself, it has a changing gradient unlike a straight line. So this means that differentiation is required to find the gradient at a specific point

EDIT: But this specific question doesn't even require the use of calculus. See post below
5. (Original post by KaylaB)
This doesn't actually work for this question, this is due to the question to having an in the equation instead of an like you suggested.
Without differentiation: if a (smooth) curve has a maximum/minimum value, the gradient there must be 0.

I don't know the GCSE syllabus well enough to know if this is what they're expecting, but since they say "write down" I think that's what they're after here.

The 2nd part (gradient at x=2) cannot be found like this but the question makes it clear that you're expected to do this by estimation.

I don't think you're supposed to use calculus for this question at all.
6. (Original post by DFranklin)
Without differentiation: if a (smooth) curve has a maximum/minimum value, the gradient there must be 0.

I don't know the GCSE syllabus well enough to know if this is what they're expecting, but since they say "write down" I think that's what they're after here.

The 2nd part (gradient at x=2) cannot be found like this but the question makes it clear that you're expected to do this by estimation.

I don't think you're supposed to use calculus for this question at all.
Oops! I didn't actually see that the maximum point was actually at x = 0, as I just skimmed over the question
Apologies for over-complicating the matter

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