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Numerade Educator

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Problem 11 Easy Difficulty

Differentiate.

$ F(y) = \left (\frac {1}{y^2} - \frac {3}{y^4} \right)(y + 5y^3) $

Answer

$\frac{5 y^{4}+14 y^{2}+9}{y^{4}}$

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Milton S.

March 3, 2021

im confused as to why the equation has to be extended so much and how u get to the last step ?

Video Transcript

he It's clear. So when you read here So we're gonna take the derivative. Do you ever do Y won over Y square minus three over y to the fourth comes five. Why cubes? Plus why this becomes equal to D over d. Y won over. Do you won over Wife Square minus three over whites The fourth by like you Plus why less one over Why square minus three over y to the fourth Do you over? Do you? Why? By why Q plus. Why, then this becomes equal to negative, too. Why? To the negative cubes minus three times negative four. Why'd the negative five five y que plus why close by times three Wives Square plus one won over Wife Square minus three over wide to the fourth. When you simplify, you get by y to the fourth plus 14 Wise Square plus nine over Y to the fourth.