If y=\frac{8}{3x^{2}}, what is the value of y'?

sunyerneq 2022-02-17 Answered
If y=83x2, what is the value of y'?
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Expert Answer

Donald Erickson
Answered 2022-02-18 Author has 8 answers
y=0×3x26x×8(3x2)2
y=48x9x4
y=163x3
We get the same derivative (since 163x3=163x3), using a different method.
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Judith Couch
Answered 2022-02-19 Author has 3 answers
83x2=831x2=83x2
y=163x3.
Another possibility (that I find needlessly complicated) is to use the product rule on
83x2
y=ddx(83)x2+83ddx(x2)
=0x2+83(2x3)
=163x3
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