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Given that z=sin(x)/cos(x), show that dz/dx = sec^2(x).

We have a "fraction" which we wish to differentiate, so we use the quotient rule with u=sin(x) and v=cos(x). This means that d/dx of u/v = (v du/dx - u dv/dx)/(v^2). We have u=sin(x) so du/dx= cos(...
GG
Answered by Gabriela G. • Maths tutor
5078 Views

Integrate y with respect to x, where y = cos(x)/[1+tan^2(x)]

y = cos(x)/sec 2 (x) = cos 3 (x) y = cos(x)(1-sin 2 (x)) = cos(x) - cos(x) sin 2 (x) -> sin(x) - sin 3 (x)/3 + c
DC
Answered by Daniel C. • Maths tutor
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How should I encorporate quotes into my essay?

Quotes are an incredibley important part of any English literature essay becuase they provide evidence from the primary source (the text) for the claims you are making in your argument. Firstly you want to c...
MT
Answered by Marcus T. • English tutor
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What is the best way to structure an essay in the exam?

Overall Structure The best way to structure your essay would be: Introduction - include contextual background and state your Line of Argument (what you are going to argue through the essay, but do not be exp...
DH
Answered by Dina H. • English tutor
2016 Views

What do I do when quadratic equations aren't written in the standard format ax^2 + bx + c = 0 ?

This isn't a trick so much as a way to let you show you can think for yourself. You might be thrown off initially if a quadratic equation is in a format that you don't recognise, but usually all it takes is ...
HK
Answered by Helena K. • Maths tutor
5132 Views