Post on this page, in the comments below, any questions you have on your maths study. Some I may be able to answer right here in these comments. Others, that are more involved, I will answer in a blog post.
I make no guarantees about the timeframe in which I’ll be able to answer questions. So if you’re asking a question at 3am on the night before an exam, don’t blame me if I don’t answer in time and you end up flunking. You’ve got bigger problems
This page is open to the public, but I will obviously prioritise questions from my own students.
Hi, I’m totally not Steve creating an example question on the Q&A page.
How do I solve 3x+4=19?
Hi Totally Not Steve.
To solve the equation you need to get
by itself on one side of the equation. This is my solution:
Let me know if you’re not sure what I did at each step.
im getting stuck on the sin(xy) of this implicit differentiation problem.
ycos(x) = 1 +sin(xy)
could anyone help me?
Use Chain Rule. A similar term not requiring implicit differentiation would be: If
, then
The only difference with your problem, is that you have to employ implicit differentiation to find the derivative of
. But if you’re ok with differentiating
that shouldn’t be a problem.
Hope that helps. I’ll write a larger post in the blog on implicit differentiation when I get the opportunity.
Hi, I’m confused about a problem: Use long division and partial fractions to simplify the rational function (x^4+x^3-x^2-x+1)/(x^3-x).
I’m confused on whether I should use partial fractions or long division, I get different answers for each method. I have also tried doing partial fractions and then long division and I get the answer: x+1-(1/(x^3-x)). Is this correct?
Thanks
You use both. Using long division gives the result you already have: x+1-1/(x^3-x). I haven’t double-checked this result for calculation errors but it’s certainly of the correct form.
Then the fraction 1/(x^3-x) can be simplified using partial fractions.