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Let y = 4t/(t^2 + 5). Find dy/dt, writing your answer in it's simplest form, and find all values of t for which dy/dt = 0

We use the quotient rule to find dy/dt. Let u = 4t and v = (t^2 + 5). Then, u' = 4 and v' = 2t. Hence, dy/dt = u'v - v'u / v 2 = 4(t^2 + 5) - 4t x 2t / (t^2 + 5) 2 = 20 - 4t 2 / (t^2 + 5) 2 . Now, we need to...
JH
Answered by Jonathan H. • Maths tutor
4654 Views

How do I use "weil"?

Weil - means because. Weil sends the verb to the end of the sentence. Example: Ich gehe ins Kino, weil ich Frozen sehen möchte. ( I am going to the cinema, because I want to see Frozen.)
EM
Answered by Emily M. • German tutor
2425 Views

How much did Bismarck’s success in unifying Germany by 1871 depend on the weaknesses of his opponents?

This is a typical 'how far' (or in this case, how much) question that is asking you to weigh up the relative importance of one factor (the weaknesses of Bismarck's opponents) against that of other factors. T...
WS
Answered by Will S. • History tutor
11067 Views

Why do I sometimes see the しき attached to adjectives?

しき is an adjective ending that appears occasionally in modern Japanese texts and literature. However this is a remnant of classical (medieval) Japanese language. This ending carries the same meaning as any n...
EM
Answered by Emily M. • Japanese tutor
2886 Views

What do interviewers look for in a candidate?

The most important thing to remember is that your interviewer will most likely also be a supervisor/tutor. Therefore, the best thing to do is to come across as someone they'd enjoy supervising and as someone...
HB
2702 Views