Top answers

All subjects
All levels

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 = (vdu/dx - udv/dx)/(v^2).

...
GG
Answered by Gabriela G. Maths tutor
4198 Views

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

y = cos(x)/sec2(x) = cos3(x)

y = cos(x)(1-sin2(x)) = cos(x) - cos(x) sin2(x)

-> sin(x) - sin3(x)/3 + c

DC
Answered by Daniel C. Maths tutor
3602 Views

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 t...

MT
Answered by Marcus T. English tutor
1834 Views

What is the best way to structure an essay in the exam?

Overall Structure

The best way to structure your essay would be:

  1. Introduction - include contextual background and state your Line of Argument (what you are going t...

DH
Answered by Dina H. English tutor
1629 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 ...

HK
Answered by Helena K. Maths tutor
4195 Views

We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning