FP1 differentials question

u = sin(x)

Hmmm, I'm sorry I don't know what to do with that..

Try the quotient rule if you're not used to substitution.

First times the differential of the second, subtracted from the second times the differential of the first, all over the second squared.

The Quotient rule.

feel free to tell me how this is relevant at all to the problem in hand?

feel free to tell me how this is relevant at all to the problem in hand?

Do you want me to solve it and then send you a pm. I just thought if he's not got to substitution yet then it's soluble with the quotient rule and it is. Believe me, I usually solve it on paper before I post or at least look at the solution on a maths program.

It is relevant because it is a method of solution if you don't know certain rules yet.

Presumably, what the OP means is: "How do I differentiate $\frac {40cosx}{5-3sinx}$?" Otherwise he's just made a statement.

$f(x) = \frac{g(x)}{h(x)} \implies f'(x) = \frac{g'(x)h(x) - h'(x)g(x)}{[h(x)]^2}$

So apply that rule.

it was a rhetorical question. It is infact useless advice and has possible confused the person who sought help.

I'd hold off second guessing the OP until he replies.

It might be that he tried it that way and got stuck. He asked how to start it off. We gave him the answer to what he asked. Set it up in quotient rule form. And go from there.

$\frac{dy}{dx} = f(x)$ is an equation and i gathered from my knowledge of further maths module 1 that y was reuired as a function of x.

If he wanted to differentiate he would have stated;

$\frac{d}{dx} \frac{40cosx}{5-3sinx} = f(x)$ what is f(x) ? .

That's Liebniz notation for differentiate though? Not sure what you are getting at? Alot of my texts use that shorthand for differentiate with respect to?

sigh.

this is so very tiresome. Do you know that differentiation and integration are different processes and how your advice in this thread is so far anything but ?

Derivative dy/dx.

I am not sure what you are getting at - how my choice of notation is worrying you is confusing, let alone the fact that you are focusing on my choice of notation and not the actual sentences before;

theop wanted to integrate.

IF he wanted to differentiate; (d/dx) f(x) = g(x) find g(x)

Stop patronising me thank you.