Question

Find f^(4)x when f(x)=x^4+3x^2-2/√x?

Answer 1

Please see below.

Explanation:

.

`f(x)=x^4_3x^2-2/sqrtx`

`f^4(x)=(f(x))^4=(x^4-3x^2-2/sqrtx)^4`

I am not sure if this is what you meant to enter. If it is you would have to do the tedious algebra work to raise what is inside theh parentheses to the `4th` power.

If you meant `f(x^4)` then we substitute `x^4` whereever we see `x` in `f(x)`:

`f(x^4)=(x^4)^4-3(x^4)^2-2/sqrt(x^4)=x^16-3x^8-2/x^2`