1. By direct differentation show that d/dx (ln |x+(x^2-1)^1/2| + constant) = 1/(x^2-1)^1/2 (sorry about the notation, i'll try latex it if people have trouble) Attached the other questions in attachment. The stars are the ones I need to do. I think 5 and 6 i can do, just question 4. Where the hell do I start that? As for the first question, I know i have to evaluate the two cases of x and -x and split it up but then what???? Rep on offer .
You sir fail at attaching files XD As for number 1, I have no clue what you're rambling on about splitting x and -x. Just differentiate using chain rule. d/dx [ln|x+(x^2 - 1)^(1/2)| + C] = 1/[x+(x^2 - 1)^(1/2)] * [1 + (1/2)*(x^2 - 1)^(-1/2) * (2x)] = (1 + x/sqrt(x^2 - 1)) / (x + sqrt(x^2 - 1)) Then its just algebraic simplification from there.
where the hell did that line come from? but ah well, I cant be bothered anymore. I'd rather have breakfast than pass my degree B) Thanks anyway <3