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

  • Thread starter ttpp1124
  • Start date
  • #1
110
4
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
diff3.png
 

Answers and Replies

  • #2
35,287
7,140
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:
$$\frac{dy}{dx} = 3(x - 1)^2 (2x^2 - 1)^{1/5} + \frac{4x(x - 1)^3}{5(2x^2 - 1)^{4/5}} $$
 

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