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find the derivative of y=(x²+51/x²)²
my steps:
y'=2[x²+5x^(2)](2x+2x)
=4x³+20x4x^(1)
but the answer given is 4x³+20x+20/x³4/x^5
why am i wrong?
 one year ago
 one year ago
find the derivative of y=(x²+51/x²)² my steps: y'=2[x²+5x^(2)](2x+2x) =4x³+20x4x^(1) but the answer given is 4x³+20x+20/x³4/x^5 why am i wrong?
 one year ago
 one year ago

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Mimi_x3Best ResponseYou've already chosen the best response.0
\[y=\left(\frac{x^{2}+51}{x^{2}}\right)^{2} \]??
 one year ago

mukushlaBest ResponseYou've already chosen the best response.0
\[x^2+5\frac{1}{x^2}\]
 one year ago

LeeYeongKyuBest ResponseYou've already chosen the best response.0
your step was wrong.. at first
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.1
well one minor mistake
 one year ago

startanewwwBest ResponseYou've already chosen the best response.1
what have i done wrong?
 one year ago

LeeYeongKyuBest ResponseYou've already chosen the best response.0
it is derivative of y = (x^2 + 5  1)^2 * (x^2)
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.1
the derivative of x^(2) is not 2x it's 2x^3
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.1
so just change your 2x there with 2x^3 and you're fine. redo the rest of the solution
 one year ago

LeeYeongKyuBest ResponseYou've already chosen the best response.0
so you use if y = fg y' = f'g + fg'
 one year ago

startanewwwBest ResponseYou've already chosen the best response.1
lgbasallote, i get it, thanks!
 one year ago

lgbasalloteBest ResponseYou've already chosen the best response.1
welcome. also...don't forget you still have a 2 outside..you have to distribute it to the equation too
 one year ago

meer1992Best ResponseYou've already chosen the best response.0
try use chain rule to solve it
 one year ago

LeeYeongKyuBest ResponseYou've already chosen the best response.0
the eq is not a ratio..
 one year ago
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