Ok i got this homework sheet out.
There are a LOT of questions to do.
I have had one lesson on calculus 1st principles and I'm a bit confused.
I've attached a file of the sheet. For the second question would I use first principles? It doesn't say and that is a LOT of working for the first question 2a) I was nearly over two pages.
(Yeh I'm new to Advanced Higher course in scotland!)
Also for question 1d) and the like I struggle to understand them.
Here's my working so far:
lim h->0 = 1/(x+h) - 1/x
= x/x(x+h) - (x+h)/x(x+h)
= x - (x+h)/x(x+h)
Am I right? Hard to type the answer. I could scan my working to show you.
Oh and please i don't want people to do my homework for me! I just need a little guidance with question wording and what they're asking for.
Let's do a fractional power. It's a little trickier in that you can use the conjugate.
Take . Let's find the derivative through first principles.
Multiply through and simplifying:
Now, as we can see by h-->0, we have :
Which gives us:
Which is as it should be.
Does that help?. A wee bit anyway?.
Am totally lost, leaning from a book as I need to start my semester in finance next year Jan, am preparing for it, Please guide?
c=0.004q(to the power3)+20q+5000
and the demand function is p=450-4q
Find the profit-maximizing output?