Let: $$f(x,t)=\frac{8x^2-101+6t^2}{x^2-6x+1+3t}$$
What method would I use to find $\frac{\partial}{\partial{x}}f(x,t)$?
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2The Quotient rule? – Paul Nov 24 '17 at 03:41
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It's literally a normal derivative. Pretend the $t$ is just a constant, like the number $5$. – Andrew Tawfeek Nov 24 '17 at 07:30
2 Answers
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Hint
Use the quotient rule:
$$\frac d{dx}\left(\frac{f(x)}{g(x)}\right)=\frac{f'(x)g(x)-f(x)g'(x)}{g(x)^2}$$
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In partial derivative, while differentiating with respect to x, terms having only 't' are treated as constants.
user166465
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fyi, pictures of text are generally discouraged here. Try to type out the answer in TeX if you can – Dylan Nov 24 '17 at 09:08
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I don't know how to use it. And would you mind telling me why pictures of text are discouraged here? – user166465 Nov 24 '17 at 13:02
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