Differentiating y = (x -1)^3 (5√2x^2 -1)

[ttpp1124]

Homework Statement

I'm supposed to differentiate, but I was asked not to simplify..I'm not sure if my final answer is formatted such that it can be understood...

Relevant Equations

n/a

 

[Mark44]

Looks OK, but the second term is really hard to fathom.
If you're using Word or something similar, your exponents like (4/5) need to have braces -- { } -- around them.
In LaTeX, and cleaned up a bit by making both expressions involve exponents, and getting rid of unneeded parentheses, your answer looks like this:
$$\frac{dy}{dx} = 3(x - 1)^2 (2x^2 - 1)^{1/5} + \frac{4x(x - 1)^3}{5(2x^2 - 1)^{4/5}} $$