v.s
Find the derivative of the function.
y = [(x2 + 4)/(x2 − 4)]^3
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ipm1988
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is it x^2 or 2x
v.s
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\[(\frac{x ^{2}+4 }{x ^{2}-4 })^{3}\]
ipm1988
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there are three ways to do this question which one did you try
v.s
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quotient rule
v.s
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\[3(\frac{x ^{2}+4 }{x ^{2}-4 })^{2}\]
zepdrix
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So that is the derivative of the outer function. Looks good so far.
Now you multiply by the derivative of the inside?
So what'd you get for your quotient rule? :D
v.s
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\[3(\frac{x ^{2}+4 }{x ^{2}-4 })^{2}\]*\[\frac{ (2x)(x ^{2}-4)-(x ^{2}+4)(2x) }{ (x ^{2}-4)^{2} }\]
v.s
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is it correct?
cwrw238
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yes - now you need to multiply by the earlier result
v.s
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do i have to expand?
cwrw238
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no but check if you can simplify