Should I include units in differentiation problems?

[gmx]

Should we include (and will we be marked down if we don't) units like: m2/sec when answering questions on the rate of change in differentiation questions?

And, I understand that when finding the anti-derivative of a gradient function, where the x axis is located is irrelevant (since there is unknown +C value). However, how do I determine how long each of the arms of the actual function should be? Are they proportional to the gradient function's "arms"?

For example: if there was a 2 cm gradient function straight line, and after the 2 cm it reaches the x-axis and it has its own gradient is negative. Then, would the quadratic of order 2 that forms have an "arm" that goes up to its maximum or minimum after 2 cm?

[TrueTears]

yeh include units for sure, units actually help you find out which differential you need

[Yitzi_K]

Should we include (and will we be marked down if we don't) units like: m2/sec when answering questions on the rate of change in differentiation questions?

And, I understand that when finding the anti-derivative of a gradient function, where the x axis is located is irrelevant (since there is unknown +C value). However, how do I determine how long each of the arms of the actual function should be? Are they proportional to the gradient function's "arms"?

For example: if there was a 2 cm gradient function straight line, and after the 2 cm it reaches the x-axis and it has its own gradient is negative. Then, would the quadratic of order 2 that forms have an "arm" that goes up to its maximum or minimum after 2 cm?

If there are units in the question, always, ALWAYS, put them in your answer.

And I'm not sure I understand your second question. But in general, when you're drawing a graph using the anti-derivative of a gradient graph, it's only supposed to be a rough sketch. As long as the turning points and points of inflection are in the right places, you should be ok.

[Yitzi_K]

Should we include (and will we be marked down if we don't) units like: m2/sec when answering questions on the rate of change in differentiation questions?

And, I understand that when finding the anti-derivative of a gradient function, where the x axis is located is irrelevant (since there is unknown +C value). However, how do I determine how long each of the arms of the actual function should be? Are they proportional to the gradient function's "arms"?

For example: if there was a 2 cm gradient function straight line, and after the 2 cm it reaches the x-axis and it has its own gradient is negative. Then, would the quadratic of order 2 that forms have an "arm" that goes up to its maximum or minimum after 2 cm?

If there are units in the question, always, ALWAYS, put them in your answer.

And I'm not sure I understand your second question. But in general, when you're drawing a graph using the anti-derivative of a gradient graph, it's only supposed to be a rough sketch. As long as the turning points and points of inflection are in the right places, you should be ok.

Ok, if so then my second question is irrelevant.

Do we really only need to get the:" turning points and points of inflection" and of course the correct basic shape, to get full marks for these?

thanks.

I think so. Like you said, there is no way of working out the '+c' part of the original equation, so we can't know exactly where the graph is placed.  So as long as all the significant points are in the right place, and the shape is right, it should be right.