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find dy/dx at t, where t=2, x=t^3+t and y=t^2+1

We know from simple fraction rules that dy/dx=(dy/dt)/(dx/dt). dy/dt=2t, dx/dt=3t^2+1. Therefore, dy/dx=2x2/12+1=4/13
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Answered by Niamh O. • Maths tutor
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How do dynamic and foil characters differ from each other?

While dynamic characters are ones who change—either in personality, perspective, or physical traits—throughout a work of literature, foil characters (though they can develop, themselves) are ones whose trait...
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Answered by Bryn E. • English tutor
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How does Acetylcholine act on a neuronal synapse, and how is it re-uptaken?

- Ca2+ voltage gated channels are activated due to an action potential reaching the synapse - Acetylcholine rests in the pre-synaptic cleft - They are stored in vesicles - The calcium influx causes the vesic...
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Answered by Krishan R. • Biology tutor
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A curve has equation x^2 + 2xy – 3y^2 + 16 = 0. Find the coordinates of the points on the curve where dy/dx =0

We would do this by differentiating everything individually so to differentiate x 2 we multiply the x 2 by the power which is 2 and then take the power down by 1 to make 2x. To differentiate 2xy we would use...
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Answered by Tom K. • Maths tutor
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How do you accord a composite avoir verb with a noun?

When according composite avoir verbs with nouns (most commonly passé composé), the verb may sometimes be accorded with the noun which is being acted on (the Compliment d'Object Direct—COD). This accord only ...
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Answered by Bryn E. • French tutor
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