Question

Question #2f4ab

Answer 1

Answer: `f'(x)=sqrt(x/4)`

Explanation:

Find inverse of `f(x)=4x^2`

Note that `f(x)` is same as `y`

So, `y=4x^2`

To find the inverse, we flip `x` and `y` in the original equation:
`x=4y^2`

Now, we can simply solve for `y` as for a normal equation:
`x/4=y^2`
`y=sqrt(x/4)`
or
`f'(x)=sqrt(x/4)`
since we use `f'(x)` to indicate inverse functions