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

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SUMMARY

The discussion focuses on differentiating the function y = (x - 1)^3 (5√2x^2 - 1). The derivative is expressed in LaTeX as $$\frac{dy}{dx} = 3(x - 1)^2 (2x^2 - 1)^{1/5} + \frac{4x(x - 1)^3}{5(2x^2 - 1)^{4/5}}$$. Participants noted the complexity of the second term and emphasized the importance of using braces for exponents in Word. The conversation highlights the need for clarity in mathematical expressions, particularly when using different formatting tools.

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  • Familiarity with LaTeX for formatting mathematical expressions.
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This discussion is beneficial for students and educators in mathematics, particularly those studying calculus and seeking to improve their skills in differentiation and mathematical formatting.

ttpp1124
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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...
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diff3.png
 
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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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