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Stuck on a part of a question (integration topic) watch

1. Hi all,

Attached is an image of the question, i'm stuck on part iv) have no idea how I can go about it really. Any help would be appreciated!

2. Damn it, the picture is too small.

Basically if f(x) is 4x(2x-1)^7 anf f(1) = 4

then what is d/dx(f^-1(x)) when x = 4
3. The derivative at the point is given by

where you evaluate at the point .
The derivative at the point is given by

where you evaluate at the point .
So do I work out the inverse of 4x(2x-1)^7? that seems way too complicated?
5. (Original post by Robskeh)
So do I work out the inverse of 4x(2x-1)^7?
Derivative. After that, you need to use .
6. (Original post by Robskeh)
Hi all,

Attached is an image of the question, i'm stuck on part iv) have no idea how I can go about it really. Any help would be appreciated!

Where does the question come from, I have not seen one like this on any C4 paper?

So my solution is:

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